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论文类型：期刊论文

发表时间：2011-02-01

发表刊物：PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES

收录刊物：SCIE、EI

卷号：121

期号：1

页面范围：37-44

ISSN号：0253-4142

关键字：Group action; locally linear; involution; nonsmoothable

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.