{"id":"https://openalex.org/W7204950897","doi":"https://doi.org/10.48550/arxiv.2608.29400","title":"Quasimap critical cohomology, Coulomb branches, and quantum groups","display_name":"Quasimap critical cohomology, Coulomb branches, and quantum groups","publication_year":2026,"publication_date":"2026-08-29","ids":{"openalex":"https://openalex.org/W7204950897","doi":"https://doi.org/10.48550/arxiv.2608.29400"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29400","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29400","pdf_url":"https://arxiv.org/pdf/2608.29400","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29400","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068820260","display_name":"Tommaso Maria Botta","orcid":"https://orcid.org/0000-0001-8520-2477","observed_orcids":["https://orcid.org/0000-0001-8520-2477"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Botta, Tommaso Maria","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005413630","display_name":"Spencer Tamagni","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tamagni, Spencer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9077000021934509,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9077000021934509,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.08410000056028366,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.003100000089034438,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/coulomb-branch","display_name":"Coulomb branch","score":0.7419999837875366},{"id":"https://openalex.org/keywords/quantum-groups","display_name":"quantum groups","score":0.8169999718666077},{"id":"https://openalex.org/keywords/quasimaps","display_name":"quasimaps","score":0.6930000185966492},{"id":"https://openalex.org/keywords/nakajima-quiver-varieties","display_name":"Nakajima quiver varieties","score":0.972000002861023},{"id":"https://openalex.org/keywords/derived-equivalence","display_name":"derived equivalence","score":0.5609999895095825},{"id":"https://openalex.org/keywords/critical-locus","display_name":"critical locus","score":0.7509999871253967},{"id":"https://openalex.org/keywords/hall-algebras","display_name":"Hall algebras","score":0.7680000066757202},{"id":"https://openalex.org/keywords/derived-category-of-coherent-sheaves","display_name":"derived categories of coherent sheaves","score":0.5429999828338623}],"concepts":[{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.8098999857902527},{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.769599974155426},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.7379999756813049},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6122999787330627},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.5956000089645386},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.5928000211715698},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5311999917030334},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5065000057220459},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.40220001339912415},{"id":"https://openalex.org/C136660716","wikidata":"https://www.wikidata.org/wiki/Q7269022","display_name":"Quantum cohomology","level":4,"score":0.36320000886917114},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36230000853538513},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.35249999165534973},{"id":"https://openalex.org/C93067474","wikidata":"https://www.wikidata.org/wiki/Q1493952","display_name":"Sheaf cohomology","level":4,"score":0.34369999170303345},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3296999931335449},{"id":"https://openalex.org/C182141236","wikidata":"https://www.wikidata.org/wiki/Q2143621","display_name":"Topos theory","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C3387666","wikidata":"https://www.wikidata.org/wiki/Q6889798","display_name":"Moduli of algebraic curves","level":3,"score":0.3070000112056732},{"id":"https://openalex.org/C199391416","wikidata":"https://www.wikidata.org/wiki/Q3977695","display_name":"Supercharge","level":3,"score":0.3061000108718872},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.304500013589859},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.2915000021457672},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.267300009727478}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29400","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29400","pdf_url":"https://arxiv.org/pdf/2608.29400","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.2608.29400","doi":"https://doi.org/10.48550/arxiv.2608.29400","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29400","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.29400","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29400","pdf_url":"https://arxiv.org/pdf/2608.29400","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204950897.pdf","grobid_xml":"https://content.openalex.org/works/W7204950897.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1495734188","https://openalex.org/W1529457518","https://openalex.org/W1555562440","https://openalex.org/W1985348730","https://openalex.org/W2006482861","https://openalex.org/W2090947221","https://openalex.org/W2162896287","https://openalex.org/W2214643542","https://openalex.org/W2285776297","https://openalex.org/W2337173272","https://openalex.org/W2385831319","https://openalex.org/W2513616126","https://openalex.org/W2522665088","https://openalex.org/W2613814458","https://openalex.org/W2785284721","https://openalex.org/W2921103326","https://openalex.org/W2962732409","https://openalex.org/W2963092953","https://openalex.org/W2963178008","https://openalex.org/W2963555098","https://openalex.org/W2971379342","https://openalex.org/W3044205911","https://openalex.org/W3172963507","https://openalex.org/W4319323259","https://openalex.org/W4360835000","https://openalex.org/W4390137148","https://openalex.org/W4390306849","https://openalex.org/W4391190810","https://openalex.org/W4399838072","https://openalex.org/W4407248167","https://openalex.org/W4414902928","https://openalex.org/W4415954396","https://openalex.org/W7117966471","https://openalex.org/W7117991166","https://openalex.org/W7118968943","https://openalex.org/W7167590556","https://openalex.org/W7171499129","https://openalex.org/W7171569743","https://openalex.org/W7203693538","https://openalex.org/W7204453368"],"related_works":["https://openalex.org/W2337173272","https://openalex.org/W4300619609","https://openalex.org/W2338727326","https://openalex.org/W4416553575","https://openalex.org/W3015461568","https://openalex.org/W7203662317","https://openalex.org/W2785679561","https://openalex.org/W4415262025","https://openalex.org/W7118968943","https://openalex.org/W2921103326"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,22,38,83,123],"systematic":[4],"study":[5],"of":[6,10,16,33,49,54,66],"the":[7,13,50,55,74,92,98,114,120],"critical":[8,40,60,76],"cohomology":[9],"$\\QM^\u03be(\\bbP^1,":[11],"X)$,":[12],"moduli":[14,35,56],"space":[15,36],"based":[17],"quasimaps":[18],"from":[19,86],"$\\bbP^1$":[20],"to":[21,91,122],"Nakajima":[23],"quiver":[24],"variety":[25],"$X$.":[26],"We":[27,78,112],"develop":[28],"two":[29,45,99],"derived":[30],"equivalent":[31,46],"presentations":[32],"this":[34,106],"as":[37],"global":[39],"locus.":[41],"Accordingly,":[42],"we":[43,62,101],"obtain":[44],"explicit":[47],"realizations":[48],"canonical":[51,64,84],"DT":[52],"sheaf":[53],"space.":[57],"Using":[58],"each":[59],"presentation,":[61],"describe":[63,102],"actions":[65,100],"shifted":[67],"Yangians":[68],"and":[69,95,118],"quantized":[70],"Coulomb":[71,93],"branches":[72],"on":[73],"quasimap":[75],"cohomologies.":[77],"produce,":[79],"by":[80],"geometric":[81],"means,":[82],"morphism":[85,107],"an":[87,109],"appropriate":[88],"Hall":[89],"algebra":[90],"branch,":[94],"show":[96],"that":[97,126],"are":[103],"compatible":[104],"via":[105,130],"under":[108],"additional":[110],"hypothesis.":[111],"conjecture":[113],"compatibility":[115],"holds":[116],"generally,":[117],"reduce":[119],"claim":[121],"sheaf-theoretic":[124],"statement":[125],"may":[127],"be":[128],"approached":[129],"Joyce":[131],"conjecture.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-02T00:00:00"}