Rationality of renormalized Chern classes
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Burns, D. | - |
dc.contributor.author | Ryu, J. -S. | - |
dc.date.accessioned | 2022-02-17T03:43:08Z | - |
dc.date.available | 2022-02-17T03:43:08Z | - |
dc.date.created | 2022-02-17 | - |
dc.date.issued | 2005 | - |
dc.identifier.issn | 1558-8599 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/25237 | - |
dc.description.abstract | Renormalized Chern classes (c) over tilde (2),...,(c) over tilde (n) for a compact, connected, complex manifold X with smooth, strictly pseudoconvex boundary M were defined in [7]. A Chern-Simons type invariant was also defined in [6] for a compact, strictly pseudoconvex CR-manifold M of dimension three, and a Gauss-Bonnet theorem relating the two in [7]. We show here that if M is spherical, and P((c) over tilde (2),...(c) over tilde (n)) is a polynomial with rational coefficients in (c) over tilde (2),...(c) over tilde (n), then the corresponding Chern class P(X) = P((c) over tilde (2),...,(c) over tilde (n)) defines a class in H* (X, M; Q). The proof is based on the multi-valued Hartogs theorem of [5] and the exponents of monodromy for a development map. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | INT PRESS BOSTON, INC | - |
dc.subject | ALGEBRAIC VARIETY | - |
dc.subject | MANIFOLDS | - |
dc.subject | SINGULARITIES | - |
dc.subject | RESOLUTION | - |
dc.subject | EQUATION | - |
dc.subject | DOMAINS | - |
dc.subject | THEOREM | - |
dc.subject | FIELD | - |
dc.title | Rationality of renormalized Chern classes | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ryu, J. -S. | - |
dc.identifier.wosid | 000241329100004 | - |
dc.identifier.bibliographicCitation | PURE AND APPLIED MATHEMATICS QUARTERLY, v.1, no.3, pp.449 - 478 | - |
dc.relation.isPartOf | PURE AND APPLIED MATHEMATICS QUARTERLY | - |
dc.citation.title | PURE AND APPLIED MATHEMATICS QUARTERLY | - |
dc.citation.volume | 1 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 449 | - |
dc.citation.endPage | 478 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ALGEBRAIC VARIETY | - |
dc.subject.keywordPlus | MANIFOLDS | - |
dc.subject.keywordPlus | SINGULARITIES | - |
dc.subject.keywordPlus | RESOLUTION | - |
dc.subject.keywordPlus | EQUATION | - |
dc.subject.keywordPlus | DOMAINS | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | FIELD | - |
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