DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jin-Hong | ko |
dc.date.accessioned | 2013-03-07T18:34:35Z | - |
dc.date.available | 2013-03-07T18:34:35Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008-06 | - |
dc.identifier.citation | QUARTERLY JOURNAL OF MATHEMATICS, v.59, pp.237 - 256 | - |
dc.identifier.issn | 0033-5606 | - |
dc.identifier.uri | http://hdl.handle.net/10203/90949 | - |
dc.description.abstract | In this paper, we show that homotopy K3 surfaces do not admit a periodic diffeomorphism of odd prime order 3 acting trivially on cohomology. This gives a negative answer for period 3 to Problem 4.124 in Kirby's problem list. In addition, we give an obstruction in terms of the rationality and the sign of the spin numbers to the non-existence of a periodic diffeomorphism of odd prime order acting trivially on cohomology of homotopy K3 surfaces. The main strategy is to calculate the Seiberg-Witten invariant for the trivial spin(c) structure in the presence of such a Z(p)-symmetry in two ways: (1) the new interpretation of the Seiberg-Witten invariants of Furuta and Fang, and (2) the theorem of Morgan and Szabo on the Seiberg-Witten invariant of homotopy K3 surfaces for the trivial Spin(c) structure. As a consequence, we derive a contradiction for any periodic diffeomorphism of prime order 3 acting trivially on cohomology of homotopy K3 surfaces. | - |
dc.language | English | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.subject | SEIBERG-WITTEN INVARIANTS | - |
dc.subject | SPIN 4-MANIFOLDS | - |
dc.subject | AUTOMORPHISMS | - |
dc.title | Rigidity of periodic diffeomorphisms of homotopy K3 surfaces | - |
dc.type | Article | - |
dc.identifier.wosid | 000256979200008 | - |
dc.identifier.scopusid | 2-s2.0-45849110966 | - |
dc.type.rims | ART | - |
dc.citation.volume | 59 | - |
dc.citation.beginningpage | 237 | - |
dc.citation.endingpage | 256 | - |
dc.citation.publicationname | QUARTERLY JOURNAL OF MATHEMATICS | - |
dc.identifier.doi | 10.1093/qmath/ham033 | - |
dc.contributor.localauthor | Kim, Jin-Hong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SEIBERG-WITTEN INVARIANTS | - |
dc.subject.keywordPlus | SPIN 4-MANIFOLDS | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
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