DC Field | Value | Language |
---|---|---|
dc.contributor.author | Oh, YG | - |
dc.contributor.author | Park, JS | - |
dc.date.accessioned | 2016-03-31T07:31:52Z | - |
dc.date.available | 2016-03-31T07:31:52Z | - |
dc.date.created | 2015-02-17 | - |
dc.date.issued | 2005-08 | - |
dc.identifier.issn | 0020-9910 | - |
dc.identifier.other | 2005-OAK-0000031995 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/13732 | - |
dc.description.abstract | In this paper, we study deformations of coisotropic submanifolds in a symplectic manifold. First we derive the equation that governs C-infinity deformations of coisotropic submanifolds and define the corresponding C-infinity-moduli space of coisotropic submanifolds modulo the Hamiltonian isotopies. This is a non-commutative and non-linear generalization of the well-known description of the local deformation space of Lagrangian submanifolds as the set of graphs of closed one forms in the Darboux-Weinstein chart of a given Lagrangian submanifold. We then introduce the notion of strong homotopy Lie algebroid (or L-infinity-algebroid) and associate a canonical isomorphism class of strong homotopy Lie algebroids to each pre-symplectic manifold (Y,omega) and identify the formal deformation space of coisotropic embeddings into a symplectic manifold in terms of this strong homotopy Lie algebroid. The formal moduli space then is provided by the gauge equivalence classes of solutions of a version of the Maurer-Cartan equation (or the master equation) of the strong homotopy Lie algebroid, and plays the role of the classical part of the moduli space of quantum deformation space of coisotropic A-branes. We provide a criterion for the unobstructedness of the deformation problem and analyze a family of examples that illustrates that this deformation problem is obstructed in general and heavily depends on the geometry and dynamics of the null foliation. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.relation.isPartOf | INVENTIONES MATHEMATICAE | - |
dc.title | Deformations of coisotropic submanifolds and strong homotopy Lie algebroids | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S00222-004-0426-8 | - |
dc.author.google | Oh, YG | - |
dc.author.google | Park, JS | - |
dc.relation.volume | 161 | - |
dc.relation.issue | 2 | - |
dc.relation.startpage | 287 | - |
dc.relation.lastpage | 360 | - |
dc.contributor.id | 11170375 | - |
dc.relation.journal | INVENTIONES MATHEMATICAE | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | INVENTIONES MATHEMATICAE, v.161, no.2, pp.287 - 360 | - |
dc.identifier.wosid | 000230347300002 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 360 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 287 | - |
dc.citation.title | INVENTIONES MATHEMATICAE | - |
dc.citation.volume | 161 | - |
dc.contributor.affiliatedAuthor | Oh, YG | - |
dc.contributor.affiliatedAuthor | Park, JS | - |
dc.identifier.scopusid | 2-s2.0-22344437808 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 25 | - |
dc.description.scptc | 24 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | SYMPLECTIC MANIFOLDS | - |
dc.subject.keywordPlus | MIRROR SYMMETRY | - |
dc.subject.keywordPlus | QUANTIZATION | - |
dc.subject.keywordPlus | CALCULUS | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordPlus | BRANES | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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