Nonsmoothable involutions on spin 4-manifolds

作者:Xue, Changtao*; Liu, Ximin
来源:Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2011, 121(1): 37-44.
DOI:10.1007/s12044-011-0013-z

摘要

Let X be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to n(-E(8)) circle plus mH, where H is the hyperbolic form. In this paper, we prove that for n such that n equivalent to 2 mod 4, there exists a locally linear pseudofree Z(2)-action on X which is nonsmoothable with respect to any possible smooth structure on X.