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Indexed by:期刊论文

Date of Publication:2011-02-01

Journal:PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES

Included Journals:SCIE、EI

Volume:121

Issue:1

Page Number:37-44

ISSN No.:0253-4142

Key Words:Group action; locally linear; involution; nonsmoothable

Abstract: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.