{"id":"https://openalex.org/W7204192636","doi":"https://doi.org/10.1016/j.aim.2026.111215","title":"Filtered lattice homology of curve singularities","display_name":"Filtered lattice homology of curve singularities","publication_year":2026,"publication_date":"2026-08-25","ids":{"openalex":"https://openalex.org/W7204192636","doi":"https://doi.org/10.1016/j.aim.2026.111215"},"language":"en","primary_location":{"id":"doi:10.1016/j.aim.2026.111215","doi":"https://doi.org/10.1016/j.aim.2026.111215","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111215","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0001870826004366/pdf","source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.sciencedirect.com/science/article/pii/S0001870826004366/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080699805","display_name":"Andr\u00e1s N\u00e9methi","orcid":"https://orcid.org/0000-0003-4115-9643","observed_orcids":["https://orcid.org/0000-0003-4115-9643","https://orcid.org/0000-0003-4076-6548"]},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]},{"id":"https://openalex.org/I127817813","display_name":"HUN-REN Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]},{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["ES","HU","RO"],"is_corresponding":true,"raw_author_name":"Andr\u00e1s N\u00e9methi","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Math., Re\u00e1ltanoda utca 13-15, H-1053, Budapest, Hungary","BBU - Babe\u015f-Bolyai Univ., Str. M. Kog\u0103lniceanu 1, 400084 Cluj-Napoca, Romania","BCAM - Basque Center for Applied Math., Mazarredo, 14, E48009 Bilbao, Basque Country, Spain","ELTE - Univ. of Budapest, Dept. of Geo., P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/A, 1117, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Math., Re\u00e1ltanoda utca 13-15, H-1053, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"BBU - Babe\u015f-Bolyai Univ., Str. M. Kog\u0103lniceanu 1, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"BCAM - Basque Center for Applied Math., Mazarredo, 14, E48009 Bilbao, Basque Country, Spain","institution_ids":["https://openalex.org/I2802176441"]},{"raw_affiliation_string":"ELTE - Univ. of Budapest, Dept. of Geo., P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/A, 1117, Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080699805"],"corresponding_institution_ids":["https://openalex.org/I106118109","https://openalex.org/I127817813","https://openalex.org/I2802176441","https://openalex.org/I3125347698"],"apc_list":{"value":3790,"currency":"USD","value_usd":3790},"apc_paid":{"value":3790,"currency":"USD","value_usd":3790},"fwci":10.0737,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.98574369,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"503","issue":null,"first_page":"111215","last_page":"111215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.8560000061988831,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.8560000061988831,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.062300000339746475,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.04259999841451645,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/curve-singularities","display_name":"singularities of curves","score":0.890999972820282},{"id":"https://openalex.org/keywords/spectral-sequences","display_name":"spectral sequences","score":0.7149999737739563},{"id":"https://openalex.org/keywords/plane-curve-singularities","display_name":"plane curve singularities","score":0.7979999780654907},{"id":"https://openalex.org/keywords/links-of-singularities","display_name":"links of singularities","score":0.7699999809265137},{"id":"https://openalex.org/keywords/complex-analytic-singularities","display_name":"complex analytic singularities","score":0.5}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9136999845504761},{"id":"https://openalex.org/C178609977","wikidata":"https://www.wikidata.org/wiki/Q3503315","display_name":"Spectral sequence","level":3,"score":0.7473000288009644},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.5564000010490417},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5268999934196472},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5241000056266785},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5167999863624573},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5088000297546387},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5044999718666077},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.43799999356269836},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.4350999891757965},{"id":"https://openalex.org/C158512270","wikidata":"https://www.wikidata.org/wiki/Q6402652","display_name":"Khovanov homology","level":3,"score":0.42320001125335693},{"id":"https://openalex.org/C121294916","wikidata":"https://www.wikidata.org/wiki/Q652525","display_name":"Floer homology","level":3,"score":0.4083000123500824},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.3959999978542328},{"id":"https://openalex.org/C143904861","wikidata":"https://www.wikidata.org/wiki/Q2297037","display_name":"Isolated singularity","level":3,"score":0.35280001163482666},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.35199999809265137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31119999289512634},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.3005000054836273},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.290800005197525},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C135783237","wikidata":"https://www.wikidata.org/wiki/Q3139850","display_name":"Morse homology","level":4,"score":0.2818000018596649},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.27709999680519104},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.27559998631477356},{"id":"https://openalex.org/C97002063","wikidata":"https://www.wikidata.org/wiki/Q134995","display_name":"Bibliography","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.27239999175071716},{"id":"https://openalex.org/C185982889","wikidata":"https://www.wikidata.org/wiki/Q5761255","display_name":"Hilbert\u2013Poincar\u00e9 series","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.2671999931335449}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.aim.2026.111215","doi":"https://doi.org/10.1016/j.aim.2026.111215","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111215","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0001870826004366/pdf","source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2306.13889","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2306.13889","pdf_url":"https://arxiv.org/pdf/2306.13889","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2306.13889","doi":"https://doi.org/10.48550/arxiv.2306.13889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2306.13889","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.aim.2026.111215","doi":"https://doi.org/10.1016/j.aim.2026.111215","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aim.2026.111215","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0001870826004366/pdf","source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204192636.pdf","grobid_xml":"https://content.openalex.org/works/W7204192636.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1562497399","https://openalex.org/W1695945729","https://openalex.org/W1727826137","https://openalex.org/W1893474892","https://openalex.org/W1964009156","https://openalex.org/W1968934184","https://openalex.org/W1969280329","https://openalex.org/W1969338287","https://openalex.org/W1975038719","https://openalex.org/W1986884774","https://openalex.org/W1990659892","https://openalex.org/W2042341157","https://openalex.org/W2053508424","https://openalex.org/W2053810255","https://openalex.org/W2084109277","https://openalex.org/W2091715579","https://openalex.org/W2101531027","https://openalex.org/W2111891867","https://openalex.org/W2143492737","https://openalex.org/W2151365442","https://openalex.org/W2471271165","https://openalex.org/W2944216573","https://openalex.org/W2963264311","https://openalex.org/W2963778458","https://openalex.org/W3036401915","https://openalex.org/W3037543837","https://openalex.org/W3103911632","https://openalex.org/W4240975989","https://openalex.org/W4312599101"],"related_works":["https://openalex.org/W7125364883","https://openalex.org/W4317940174","https://openalex.org/W2951986714","https://openalex.org/W2963050163","https://openalex.org/W6910590155","https://openalex.org/W3201098862","https://openalex.org/W7051074979","https://openalex.org/W3197356621","https://openalex.org/W7099956569","https://openalex.org/W4401427736"],"abstract_inverted_index":{"Let":[0],"be":[1,167],"a":[2,24,58,74,83,195],"complex":[3],"analytic":[4],"reduced":[5],"curve":[6,160],"singularity":[7,194],"of":[8,50,60,77,92,99,103,110,117,120,123,134,141,151,158,175,178,202],"arbitrary":[9,190],"large":[10],"embedded":[11],"dimension.":[12],"Its":[13],"lattice":[14,94],"cohomology":[15],"\u204e":[16,33],"was":[17],"introduced":[18],"in":[19,211],"[2]":[20],",":[21,80],"each":[22],"is":[23,57,127,199],"graded":[25],"\u2013module.":[26],"Here":[27],"we":[28,72],"study":[29],"its":[30],"homological":[31,84,196],"version":[32],".":[34,65,111,135],"The":[35],"construction":[36],"uses":[37],"the":[38,44,48,51,78,89,93,97,101,104,115,118,121,124,130,142,149,152,156,162,170,176,179,184,200,203,212],"multivariable":[39,144],"Hilbert":[40],"function":[41],"associated":[42,147],"with":[43,129,148,169],"valuations":[45],"provided":[46],"by":[47],"normalization":[49],"curve.":[52],"A":[53],"key":[54],"intermediate":[55],"product":[56],"tower":[59],"topological":[61],"spaces":[62],"such":[63],"that":[64,114],"In":[66,155,181],"this":[67,182],"article":[68],"for":[69,188,209],"every":[70],"n":[71],"consider":[73],"natural":[75],"filtration":[76],"space":[79],"which":[81,198],"provides":[82],"spectral":[85,105,153],"sequence":[86],"converging":[87],"to":[88],"homogeneous":[90],"summand":[91],"homology.":[95],"All":[96],"entries":[98,122,150],"all":[100],"pages":[102,126],"sequences":[106],"are":[107],"new":[108,185],"invariants":[109,186],"We":[112,136],"show":[113],"collection":[116],"ranks":[119],"first":[125,163],"equivalent":[128],"motivic":[131],"Poincar\u00e9":[132,145],"series":[133,146],"provide":[137,187],"several":[138],"concrete":[139],"computations":[140],"corresponding":[143],"sequences.":[154],"case":[157],"plane":[159],"singularities,":[161],"page":[164],"can":[165],"also":[166],"identified":[168],"Heegaard":[171,204],"Floer":[172,205],"Link":[173,206],"homology":[174],"link":[177],"singularity.":[180],"way,":[183],"an":[189],"(non":[191],"necessarily":[192],"plane)":[193],"theory":[197,207],"analogue":[201],"(formulated":[208],"links":[210],"3\u2013sphere).":[213]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-26T00:00:00"}