DC Field | Value | Language |
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dc.contributor.author | PARK, JAE SUK | - |
dc.contributor.author | PARK, JEEHOON | - |
dc.date.accessioned | 2017-07-19T12:45:33Z | - |
dc.date.available | 2017-07-19T12:45:33Z | - |
dc.date.created | 2016-07-20 | - |
dc.date.issued | 2016-06 | - |
dc.identifier.issn | 1931-4523 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/36393 | - |
dc.description.abstract | The goal of this paper is to reveal hidden structures on the singular cohomology and the Griffiths period integral of a smooth projective hypersurface in terms of BV(Batalin-Vilkovisky) algebras and homotopy Lie theory (so called, L-infinity-homotopy theory). Let X-G be a smooth projective hypersurface in the complex projective space P-n defined by a homogeneous polynomial G((x) under bar) of degree d >= 1. Let H = H-prim(n-1) (X-G, C) be the middle dimensional primitive cohomology of X-G(prim). We explicitly construct a BV algebra BVX = (A(X), Q(X), K-X) such that its 0-th cohomology H-KX(0) (A(X)) is canonically isomorphic to H. We also equip BVX with a decreasing filtration and a bilinear pairing which realize the Hodge filtration and the cup product polarization on H under the canonical isomorphism. Moreover, we lift GET] : IRE C to a cochain map l(r) : (A(X), K-X) -> (C, 0), where C-[gamma] is the Griffiths period integral given by omega -> integral(gamma) omega for [gamma] is an element of Hn-1 (X-G, Z). We use this enhanced homotopy structure on H to study an extended formal deformation of X-G and the correlation of its period integrals. If X-G is in a formal family of Calabi-Yau hypersurfaces X-G(T) under bar, we provide an explicit formula and algorithm (based on a Grobner basis) to compute the period matrix of X-G (T) under bar, in terms of the period matrix of X-G (X) under bar and an L-infinity-morphism (kappa) under bar which enhances C-[gamma] and governs deformations of period matrices. | - |
dc.language | English | - |
dc.publisher | International Press | - |
dc.relation.isPartOf | Communications in Number Theory and Physics | - |
dc.title | Enhanced homotopy theory for period integrals of smooth projective hypersurfaces | - |
dc.type | Article | - |
dc.identifier.doi | 10.4310/CNTP.2016.V10.N2.A3 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Communications in Number Theory and Physics, v.10, no.2, pp.235 - 337 | - |
dc.identifier.wosid | 000381538900003 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 337 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 235 | - |
dc.citation.title | Communications in Number Theory and Physics | - |
dc.citation.volume | 10 | - |
dc.contributor.affiliatedAuthor | PARK, JAE SUK | - |
dc.contributor.affiliatedAuthor | PARK, JEEHOON | - |
dc.identifier.scopusid | 2-s2.0-84980335301 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 3 | - |
dc.description.scptc | 1 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalResearchArea | Physics | - |
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