Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-02-01

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

Included Journals: EI、SCIE

Volume: 121

Issue: 1

Page Number: 37-44

ISSN: 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.