Rigidity of periodic diffeomorphisms on homotopy K3 surfaces

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dc.creatorKim, Jin Hong
dc.date2006-08-29
dc.date.accessioned2026-07-07T07:22:15Z
dc.date.available2026-07-07T07:22:15Z
dc.descriptionThe aim of this paper is to show the rigidity of homologically trivial actions of prime order on K3 surfaces. To be precise, we show that homotopy K3 surfaces do not admit a periodic diffeomorphism of odd prime order 3 acting trivially on cohomology. Moreover, we give an obstruction in terms of the rationality and sign of the spin numbers to the existence of a periodic diffeomorphism of odd prime order acting trivially on cohomology of homotopy K3 surfaces.
dc.descriptionPreliminary version
dc.identifierhttps://arxiv.org/abs/math/0608703
dc.identifierhttp://arxiv.org/abs/math/0608703
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115595
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject57R57
dc.titleRigidity of periodic diffeomorphisms on homotopy K3 surfaces
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