Matthew Strom Borman, Mohamed El Alami, Nick Sheridan
{"title":"毛雷尔--来自压实的交映同调中的卡尔坦元素","authors":"Matthew Strom Borman, Mohamed El Alami, Nick Sheridan","doi":"arxiv-2408.09221","DOIUrl":null,"url":null,"abstract":"We prove that under certain conditions, a normal crossings compactification\nof a Liouville domain determines a Maurer--Cartan element for the $L_\\infty$\nstructure on its symplectic cohomology; and deforming by this element gives the\nquantum cohomology of the compactification.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maurer--Cartan elements in symplectic cohomology from compactifications\",\"authors\":\"Matthew Strom Borman, Mohamed El Alami, Nick Sheridan\",\"doi\":\"arxiv-2408.09221\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that under certain conditions, a normal crossings compactification\\nof a Liouville domain determines a Maurer--Cartan element for the $L_\\\\infty$\\nstructure on its symplectic cohomology; and deforming by this element gives the\\nquantum cohomology of the compactification.\",\"PeriodicalId\":501155,\"journal\":{\"name\":\"arXiv - MATH - Symplectic Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Symplectic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.09221\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Symplectic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.09221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Maurer--Cartan elements in symplectic cohomology from compactifications
We prove that under certain conditions, a normal crossings compactification
of a Liouville domain determines a Maurer--Cartan element for the $L_\infty$
structure on its symplectic cohomology; and deforming by this element gives the
quantum cohomology of the compactification.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
