{"id":"https://openalex.org/W4412379539","doi":"https://doi.org/10.1007/s00574-025-00464-5","title":"Local Gluing","display_name":"Local Gluing","publication_year":2025,"publication_date":"2025-07-14","ids":{"openalex":"https://openalex.org/W4412379539","doi":"https://doi.org/10.1007/s00574-025-00464-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00574-025-00464-5","doi":"https://doi.org/10.1007/s00574-025-00464-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00574-025-00464-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00574-025-00464-5.pdf","source":{"id":"https://openalex.org/S4210173502","display_name":"Bulletin of the Brazilian Mathematical Society New Series","issn_l":"1678-7544","issn":["1678-7544","1678-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Brazilian Mathematical Society, New Series","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00574-025-00464-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011102630","display_name":"Urs Frauenfelder","orcid":"https://orcid.org/0000-0002-5151-7793","observed_orcids":["https://orcid.org/0000-0002-5151-7793"]},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Urs Frauenfelder","raw_affiliation_strings":["Universit\u00e4t Augsburg, Augsburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-5151-7793","affiliations":[{"raw_affiliation_string":"Universit\u00e4t Augsburg, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001377360","display_name":"Joa Weber","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Joa Weber","raw_affiliation_strings":["UNICAMP, Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNICAMP, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011102630"],"corresponding_institution_ids":["https://openalex.org/I179225836"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":3.5121,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.91901968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"56","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.8198000192642212,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.8198000192642212,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.1404999941587448,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.00570000009611249,"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/critical-points","display_name":"critical points","score":0.42500001192092896},{"id":"https://openalex.org/keywords/stable-manifolds","display_name":"stable manifolds","score":0.8930000066757202},{"id":"https://openalex.org/keywords/unstable-manifolds","display_name":"unstable manifolds","score":1.0},{"id":"https://openalex.org/keywords/path-space","display_name":"path space","score":0.6880000233650208},{"id":"https://openalex.org/keywords/floer-theory","display_name":"Floer theory","score":0.9879999756813049},{"id":"https://openalex.org/keywords/implicit-function-theorem","display_name":"implicit function theorem","score":0.8500000238418579},{"id":"https://openalex.org/keywords/functional-analysis","display_name":"functional analysis","score":0.3790000081062317}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29094722867012024}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00574-025-00464-5","doi":"https://doi.org/10.1007/s00574-025-00464-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00574-025-00464-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00574-025-00464-5.pdf","source":{"id":"https://openalex.org/S4210173502","display_name":"Bulletin of the Brazilian Mathematical Society New Series","issn_l":"1678-7544","issn":["1678-7544","1678-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Brazilian Mathematical Society, New Series","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2401.10151","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.10151","pdf_url":"https://arxiv.org/pdf/2401.10151","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.2401.10151","doi":"https://doi.org/10.48550/arxiv.2401.10151","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2401.10151","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00574-025-00464-5","doi":"https://doi.org/10.1007/s00574-025-00464-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00574-025-00464-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00574-025-00464-5.pdf","source":{"id":"https://openalex.org/S4210173502","display_name":"Bulletin of the Brazilian Mathematical Society New Series","issn_l":"1678-7544","issn":["1678-7544","1678-7714"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Brazilian Mathematical Society, New Series","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G495747691","display_name":null,"funder_award_id":"FR 2637/2-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412379539.pdf","grobid_xml":"https://content.openalex.org/works/W4412379539.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1492125985","https://openalex.org/W1671650539","https://openalex.org/W2058498809","https://openalex.org/W2139751038","https://openalex.org/W2235177998","https://openalex.org/W4244193571"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1,59,79],"the":[2,10,14,40,44,50,60,63,66,75,89,149],"local":[3,7,51,67,90],"gluing":[4,52,68,91],"one":[5],"glues":[6],"neighborhoods":[8],"around":[9,43],"critical":[11,45],"point":[12,46],"of":[13,65,74,115,120,138,158],"stable":[15,109],"and":[16,106,110],"unstable":[17,111],"manifolds":[18,112],"to":[19,134],"gradient":[20],"flow":[21],"lines":[22],"defined":[23],"on":[24,101],"a":[25,84],"finite-time":[26],"interval":[27],"$$[-T,T]$$":[28],"[":[29],"-":[30],"T":[31,33,37],",":[32],"]":[34],"for":[35,141],"large":[36],".":[38],"If":[39],"Riemannian":[41],"metric":[42],"is":[47,123,148],"locally":[48],"Euclidean,":[49],"map":[53,69,92],"can":[54,93,129],"be":[55,94,132],"written":[56],"down":[57],"explicitly.":[58],"non-Euclidean":[61],"case":[62],"construction":[64],"requires":[70],"an":[71,155],"intricate":[72],"version":[73,157],"implicit":[76],"function":[77],"theorem.":[78],"this":[80,121],"paper":[81],"we":[82,98],"explain":[83],"functional":[85,126],"analytic":[86],"approach":[87,122],"how":[88],"defined.":[95],"For":[96],"that":[97,124],"are":[99],"working":[100],"infinite":[102,135],"dimensional":[103,136],"path":[104,116],"spaces":[105],"also":[107],"interpret":[108],"as":[113,130],"submanifolds":[114],"spaces.":[117],"The":[118],"advantage":[119],"similar":[125],"analytical":[127],"techniques":[128],"well":[131],"generalized":[133],"versions":[137],"Morse":[139],"theory,":[140],"example":[142],"Floer":[143],"theory.":[144],"A":[145],"crucial":[146],"ingredient":[147],"Newton-Picard":[150],"map.":[151],"We":[152],"work":[153],"out":[154],"abstract":[156],"it":[159],"which":[160],"does":[161],"not":[162],"involve":[163],"troublesome":[164],"quadratic":[165],"estimates.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-07-14T00:00:00"}
