Release Time:2019-03-11  Hits:

Indexed by: Journal Article

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: 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.