DC Field | Value | Language |
---|---|---|
dc.contributor.author | Oh, Yong-Geun | - |
dc.contributor.author | Savelyev, Yasha | - |
dc.date.accessioned | 2024-06-20T06:22:05Z | - |
dc.date.available | 2024-06-20T06:22:05Z | - |
dc.date.created | 2023-08-29 | - |
dc.date.issued | 2023-06 | - |
dc.identifier.issn | 1615-715X | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/123657 | - |
dc.description.abstract | For each contact diffeomorphism phi : (Q, xi). (Q, xi) of ( Q, xi), we equip its mapping torus M-phi with a locally conformal symplectic form of Banyaga's type, which we call the lcs mapping torus of the contact diffeomorphism phi. In the present paper, we consider the product Q x S-1 = M-id (corresponding to phi = id) and develop basic analysis of the associated J-holomorphic curve equation, which has the form partial derivative(pi)w = 0, w*lambda degrees j = f * d theta for the map u = (w, f) : (Sigma) over dot -> Q x S-1 for a lambda-compatible almost complex structure J and a punctured Riemann surface ((Sigma) over dot, j). In particular, w is a contact instanton in the sense of [31], [32]. We develop a scheme of treating the non-vanishing charge by introducing the notion of charge class in H-1((Sigma) over dot, Z) and develop the geometric framework for the study of pseudoholomorphic curves, a correct choice of energy and the definition of moduli spaces towards the construction of a compactification of the moduli space on the lcs-fication of (Q, lambda) (more generally on arbitrary locally conformal symplectic manifolds). | - |
dc.language | English | - |
dc.publisher | WALTER DE GRUYTER GMBH | - |
dc.relation.isPartOf | ADVANCES IN GEOMETRY | - |
dc.title | Pseudoholomorphic curves on the LCS-fication of contact manifolds | - |
dc.type | Article | - |
dc.identifier.doi | 10.1515/advgeom-2023-0004 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | ADVANCES IN GEOMETRY, v.23, no.2, pp.153 - 190 | - |
dc.identifier.wosid | 001000471700001 | - |
dc.citation.endPage | 190 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 153 | - |
dc.citation.title | ADVANCES IN GEOMETRY | - |
dc.citation.volume | 23 | - |
dc.contributor.affiliatedAuthor | Oh, Yong-Geun | - |
dc.identifier.scopusid | 2-s2.0-85161353954 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | WEINSTEIN CONJECTURE | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordPlus | INDEX | - |
dc.subject.keywordAuthor | Locally conformal symplectic manifold | - |
dc.subject.keywordAuthor | lcs-fication of contact manifold | - |
dc.subject.keywordAuthor | lcs instanton | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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