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Pseudofree  -actions on  surfaces
Author(s):
Ximin
Liu;
Nobuhiro
Nakamura
Journal:
Proc. Amer. Math. Soc.
135
(2007),
903-910.
MSC (2000):
Primary 57S17;
Secondary 57S25, 57M60, 57R57
Posted:
August 31, 2006
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Additional information
Abstract:
In this paper, we give a weak classification of
locally linear
pseudofree actions of the cyclic group of order
on a  surface, and
prove the existence of such an action which cannot
be realized as a smooth
action on the standard smooth  surface.
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Additional Information:
Ximin
Liu
Affiliation:
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China
Email:
liudlut@yahoo.com
Nobuhiro
Nakamura
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
Email:
nakamura@kurims.kyoto-u.ac.jp
DOI:
10.1090/S0002-9939-06-08507-8
PII:
S 0002-9939(06)08507-8
Keywords:
Group actions,
locally linear,
pseudofree,
$K3$ surface,
Seiberg-Witten invariants
Received by editor(s):
July 10, 2005
Received by editor(s) in revised form:
September 28, 2005
Posted:
August 31, 2006
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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