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KNOTS in WASHINGTON 10 Japan-USA; workshop in Knot Theory
January 23-30, 2000
George Washington University
Washington, DC, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage


Cyclic group actions on manifolds-informal introduction
by
Adam S. Sikora
Univ. of Maryland

Let a cyclic group Z/pZ act on a surface F. Is the number of fixed points of this action determined by the induced Z/pZ-action on H_1(F)? What is the relationship between the number of fixed circles in a Z/pZ-action on a 3-manifold M and the induced Z/pZ-action on H_1(M)? We will answer these and analogous questions using equivariant (Tate) cohomology, and a careful analysis of differentials in associated spectral sequences.

Date received: February 26, 2000


Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-28.