{"id":"https://openalex.org/W1215061358","doi":"https://doi.org/10.1090/fic/047/10","title":"Symplectic gluing and family Gromov-Witten invariants","display_name":"Symplectic gluing and family Gromov-Witten invariants","publication_year":2005,"publication_date":"2005-12-06","ids":{"openalex":"https://openalex.org/W1215061358","doi":"https://doi.org/10.1090/fic/047/10","mag":"1215061358"},"language":"en","primary_location":{"id":"doi:10.1090/fic/047/10","doi":"https://doi.org/10.1090/fic/047/10","is_oa":false,"landing_page_url":"https://doi.org/10.1090/fic/047/10","pdf_url":null,"source":{"id":"https://openalex.org/S4306462811","display_name":"American Mathematical Society eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310321506","host_organization_name":"Serbian Mathematical Society","host_organization_lineage":["https://openalex.org/P4310321506"],"host_organization_lineage_names":["Serbian Mathematical Society"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometry and Topology of Manifolds","raw_type":"other"},"volume":{"id":"https://openalex.org/W652737649","display_name":"Geometry and Topology of Manifolds"},"type":"book-chapter","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0503176","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100366255","display_name":"Junho Lee","orcid":"https://orcid.org/0000-0003-3294-7955","observed_orcids":["https://orcid.org/0000-0003-3294-7955"]},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Junho Lee","raw_affiliation_strings":["Michigan State University East Lansing, MI 48824"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Michigan State University East Lansing, MI 48824","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059251997","display_name":"Thomas H. Parker","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Parker","raw_affiliation_strings":["Michigan State University East Lansing, MI 48824"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Michigan State University East Lansing, MI 48824","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":null,"apc_paid":null,"fwci":0.8609,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.80685794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"147","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9707000255584717,"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":0.9707000255584717,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.020999999716877937,"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/T12351","display_name":"Geometry and complex manifolds","score":0.005200000014156103,"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/gromov-witten-invariants","display_name":"Gromov-Witten invariants","score":0.9319999814033508},{"id":"https://openalex.org/keywords/kahler-surfaces","display_name":"K\u00e4hler surfaces","score":0.7319999933242798},{"id":"https://openalex.org/keywords/elliptic-surfaces","display_name":"elliptic surfaces","score":0.9940000176429749}],"concepts":[{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.8426157832145691},{"id":"https://openalex.org/C207789664","wikidata":"https://www.wikidata.org/wiki/Q1547297","display_name":"Gromov\u2013Witten invariant","level":5,"score":0.5562567114830017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5275627970695496},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4951404631137848},{"id":"https://openalex.org/C104586451","wikidata":"https://www.wikidata.org/wiki/Q771008","display_name":"Symplectic representation","level":4,"score":0.1828174591064453},{"id":"https://openalex.org/C130190758","wikidata":"https://www.wikidata.org/wiki/Q1064500","display_name":"Symplectic manifold","level":3,"score":0.17297187447547913}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1090/fic/047/10","doi":"https://doi.org/10.1090/fic/047/10","is_oa":false,"landing_page_url":"https://doi.org/10.1090/fic/047/10","pdf_url":null,"source":{"id":"https://openalex.org/S4306462811","display_name":"American Mathematical Society eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310321506","host_organization_name":"Serbian Mathematical Society","host_organization_lineage":["https://openalex.org/P4310321506"],"host_organization_lineage_names":["Serbian Mathematical Society"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometry and Topology of Manifolds","raw_type":"other"},{"id":"pmh:oai:arXiv.org:math/0503176","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0503176","pdf_url":"https://arxiv.org/pdf/math/0503176","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":"pmh:oai:CiteSeerX.psu:10.1.1.133.7781","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.133.7781","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.msu.edu/~parker/LPMaster.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.211.2726","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.211.2726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ucf.edu/%7Eleejunho/paper5.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.234.5353","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.5353","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0503176v2.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.math/0503176","doi":"https://doi.org/10.48550/arxiv.math/0503176","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0503176","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":"pmh:oai:arXiv.org:math/0503176","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0503176","pdf_url":"https://arxiv.org/pdf/math/0503176","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1215061358.pdf","grobid_xml":"https://content.openalex.org/works/W1215061358.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W87495709","https://openalex.org/W1480660276","https://openalex.org/W1492091844","https://openalex.org/W1916008908","https://openalex.org/W1944683942","https://openalex.org/W1993008246","https://openalex.org/W2028612687","https://openalex.org/W2040107163","https://openalex.org/W2052556682","https://openalex.org/W2054166979","https://openalex.org/W2090463736","https://openalex.org/W2107905956","https://openalex.org/W2143746253","https://openalex.org/W2152925048","https://openalex.org/W2154417895","https://openalex.org/W2206173365","https://openalex.org/W2609688120","https://openalex.org/W2949493974","https://openalex.org/W2963193174","https://openalex.org/W3149757343"],"related_works":["https://openalex.org/W7100526600","https://openalex.org/W7098550753","https://openalex.org/W2147374541","https://openalex.org/W2152925048","https://openalex.org/W2052556682","https://openalex.org/W7095310599","https://openalex.org/W7098060561","https://openalex.org/W7098120986","https://openalex.org/W2743308717","https://openalex.org/W2054093319"],"abstract_inverted_index":{"This":[0,40],"article":[1],"describes":[2],"the":[3,31,43,47,52,58,65,72,78,82,100],"use":[4],"of":[5,67,84,95,99],"symplectic":[6],"cut-and-paste":[7],"methods":[8,21],"to":[9,22,51,64,71,91],"compute":[10],"Gromov-Witten":[11],"invariants.":[12],"Our":[13],"focus":[14],"is":[15],"on":[16],"recent":[17],"advances":[18],"extending":[19,42],"these":[20],"Kahler":[23],"surfaces":[24,69],"with":[25,81],"geometric":[26],"genus":[27],"p_g>0,":[28],"for":[29,36],"which":[30],"usual":[32],"GW":[33,54],"invariants":[34,55,66],"vanish":[35],"most":[37],"homology":[38],"classes.":[39],"involves":[41],"Splitting":[44],"Formula":[45,50],"and":[46,70,87],"Symplectic":[48],"Sum":[49],"family":[53],"introduced":[56],"by":[57],"first":[59],"author.":[60],"We":[61],"present":[62],"applications":[63],"elliptic":[68],"Yau-Zaslow":[73,101],"Conjecture.":[74,102],"In":[75],"both":[76],"cases":[77,98],"results":[79],"agree":[80],"conjectures":[83],"algebraic":[85],"geometers":[86],"yield":[88],"a":[89],"proof,":[90],"appear":[92],"in":[93],"[LL1],":[94],"previously":[96],"unproved":[97]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
