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기하학수리물리연구단
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A wrapped Fukaya category of knot complement

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dc.contributor.authorBae, Youngjin-
dc.contributor.authorKim, Seonhwa-
dc.contributor.authorYong-Geun Oh-
dc.date.accessioned2023-08-08T22:02:08Z-
dc.date.available2023-08-08T22:02:08Z-
dc.date.created2023-06-20-
dc.date.issued2023-06-
dc.identifier.issn0025-5874-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/13727-
dc.description.abstractThis is the first of a series of two articles where we construct a version of wrapped Fukaya category WF(M\K; H-g0) of the cotangent bundle T *(M\K) of the knot complement M\K of a compact 3-manifold M , and do some calculation for the case of hyperbolic knots K ? M. For the construction, we use the wrapping induced by the kinetic energy Hamiltonian H-g0 associated to the cylindrical adjustment (g0) on M\K of a smooth metric g defined on M. We then consider the torus T = ?N(K) as an object in this category and its wrapped Floer complex CW*(?*T; H-g0) where N(K) is a tubular neighborhood of K ? M. We prove that the quasi-equivalence class of the category and the quasi-isomorphism class of the A00 algebra CW*(?*T; H-g0) are independent of the choice of cylindrical adjustments of such metrics depending only on the isotopy class of the knot K in M. In a sequel (Bae et al. in Asian J Math 25(1):117-176, 2019), we give constructions of a wrapped Fukaya category WF(M\K; H-h) for hyperbolic knot K and of A00 algebra CW*(?*T; H-h) directly using the hyperbolic metric h on M\K , and prove a formality result for the asymptotic boundary of (M\K , h).-
dc.language영어-
dc.publisherSPRINGER HEIDELBERG-
dc.titleA wrapped Fukaya category of knot complement-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000988483300001-
dc.identifier.scopusid2-s2.0-85160629538-
dc.identifier.rimsid80983-
dc.contributor.affiliatedAuthorYong-Geun Oh-
dc.identifier.doi10.1007/s00209-023-03285-8-
dc.identifier.bibliographicCitationMATHEMATISCHE ZEITSCHRIFT, v.304, no.2-
dc.relation.isPartOfMATHEMATISCHE ZEITSCHRIFT-
dc.citation.titleMATHEMATISCHE ZEITSCHRIFT-
dc.citation.volume304-
dc.citation.number2-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusFLOER HOMOLOGY-
dc.subject.keywordPlusCONTACT-
dc.subject.keywordAuthorKnot complement-
dc.subject.keywordAuthorCoisotropic stop-
dc.subject.keywordAuthorWrapped Fukaya category-
dc.subject.keywordAuthorKnot Fukaya algebra-
dc.subject.keywordAuthorHorizontal C-0-estimates-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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