Pairings in Mirror Symmetry Between a Symplectic Manifold and a Landau-Ginzburg B-Model
DC Field | Value | Language |
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dc.contributor.author | Cho, Cheol-Hyun | - |
dc.contributor.author | Lee, Sangwook | - |
dc.contributor.author | Shin, Hyung-Seok | - |
dc.date.available | 2020-11-16T05:42:02Z | - |
dc.date.created | 2020-11-03 | - |
dc.date.issued | 2020-04 | - |
dc.identifier.issn | 0010-3616 | - |
dc.identifier.uri | http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/39936 | - |
dc.description.abstract | We find a relation between Lagrangian Floer pairing of a symplectic manifold and Kapustin-Li pairing of the mirror Landau-Ginzburg model under localized mirror functor. They are conformally equivalent with an interesting conformal factor (vol(Floer)/vol)(2), which can be described as a ratio of Lagrangian Floer volume class and classical volume class. For this purpose, we introduce B-invariant of Lagrangian Floer cohomology with values in Jacobian ring of the mirror potential function. And we prove what we call a multi-crescent Cardy identity under certain conditions, which is a generalized form of Cardy identity. As an application, we discuss the case of general toric manifold, and the relation to the work of Fukaya-Oh-Ohta-Ono and their Z-invariant. Also, we compute the conformal factor (vol(Floer)/vol)(2) for the elliptic curve quotient P-3,3,3(1), which gives a modular form. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.relation.isPartOf | COMMUNICATIONS IN MATHEMATICAL PHYSICS | - |
dc.title | Pairings in Mirror Symmetry Between a Symplectic Manifold and a Landau-Ginzburg B-Model | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00220-019-03611-4 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.375, no.1, pp.345 - 390 | - |
dc.description.journalClass | 1 | - |
dc.identifier.wosid | 000528798500008 | - |
dc.citation.endPage | 390 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 345 | - |
dc.citation.title | COMMUNICATIONS IN MATHEMATICAL PHYSICS | - |
dc.citation.volume | 375 | - |
dc.contributor.affiliatedAuthor | Lee, Sangwook | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.subject.keywordPlus | LAGRANGIAN FLOER THEORY | - |
dc.subject.keywordPlus | TORUS FIBERS | - |
dc.subject.keywordPlus | FORMULA | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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