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Indexed by:期刊论文

Date of Publication:2017-11-01

Journal:CHINESE ANNALS OF MATHEMATICS SERIES B

Included Journals:SCIE

Volume:38

Issue:6

Page Number:1303-1310

ISSN No.:0252-9599

Key Words:Group action; Locally linear; Kirby-Siebemann invariant; Nonsmoothable

Abstract:Let X be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to 2k(-E8) circle plus iH where IH is the hyperbolic form. In this paper, the authors prove that if there exists a locally linear pseudofree Z(3)-action on X, then Sign(g, X) equivalent to -k mod 3. They also investigate the smoothability of locally linear 7,3-action satisfying above congruence. In particular, it is proved that there exist some nonsmoothable locally linear Z(3)-actions on certain elliptic surfaces.