Rigidity of periodic diffeomorphisms on homotopy K3 surfaces
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
The 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.
Cite
@article{arxiv.math/0608703,
title = {Rigidity of periodic diffeomorphisms on homotopy K3 surfaces},
author = {Jin Hong Kim},
journal= {arXiv preprint arXiv:math/0608703},
year = {2007}
}
Comments
Preliminary version