DC Field | Value | Language |
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dc.contributor.author | KIM, DOKYOUNG | - |
dc.contributor.author | KIM, YESEUL | - |
dc.contributor.author | Park, Jeehoon | - |
dc.date.accessioned | 2019-01-28T06:35:31Z | - |
dc.date.available | 2019-01-28T06:35:31Z | - |
dc.date.created | 2018-08-06 | - |
dc.date.issued | 2018-06 | - |
dc.identifier.issn | 0025-5793 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/94630 | - |
dc.description.abstract | Barannikov and Kontsevich [Frobenius manifolds and formality of Lie algebras of polyvector fields. Int. Math. Res. Not. IMRN 1998(4) (1998), 201215], constructed a DGBV (differential Gerstenhaber-Batalin-ovisky) algebra t for a compact smooth Calabi-Yau complex manifold M of dimension m, which gives rise to the B-side formal Frobenius manifold structure in the homological mirror symmetry conjecture. The cohomology of the DGBV algebra t is isomorphic to the total singular cohomology H-center dot (M) = circle plus(2m)(k=0) H-k (M,C) of M. if M = X-G (C), where X-G is the hypersurface defined by a homogeneous polynomial G((x) under bar) in the projective space P-n, then we give a purely algorithmic construction of a DGBV algebra A(U) , which computes the primitive part circle plus(m)(k=0) PHk of the middle-dimensional cohomology circle plus(m)(k=0) H-k (M,C) using the de Rham cohomology of the hypersurface complement U-G := P-n \ X-G and the residue isomorphism from H-dR(k) (U-G / C) to PHk. We observe that the DGBV algebra A(U) still makes sense even for a singular projective Calabi-Yau hypersurface, i.e. A(U) computes circle plus(m)(k=0) H-dR(k) (U-G/C) even for a singular X-G. Moreover, we give a precise relationship between A(U) and and t when X-G is smooth in P-n. | - |
dc.language | English | - |
dc.publisher | LONDON MATH SOC | - |
dc.relation.isPartOf | MATHEMATIKA | - |
dc.title | DIFFERENTIAL GERSTENHABER-BATALIN-VILKOVISKY ALGEBRAS FOR CALABI-YAU HYPERSURFACE COMPLEMENTS | - |
dc.type | Article | - |
dc.identifier.doi | 10.1112/S0025579318000177 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | MATHEMATIKA, v.64, no.3, pp.637 - 651 | - |
dc.identifier.wosid | 000437033800003 | - |
dc.citation.endPage | 651 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 637 | - |
dc.citation.title | MATHEMATIKA | - |
dc.citation.volume | 64 | - |
dc.contributor.affiliatedAuthor | KIM, DOKYOUNG | - |
dc.contributor.affiliatedAuthor | KIM, YESEUL | - |
dc.contributor.affiliatedAuthor | Park, Jeehoon | - |
dc.identifier.scopusid | 2-s2.0-85054193287 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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