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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


Surgeries on periodic links and homology of periodic manifolds
by
Maxim Sokolov
George Washington University
Coauthors: Jozef H. Przytycki (George Washington University)

We prove the following theorem:


Theorem. If a closed orientable 3-manifold M admits an action of a cyclic group Zp where p is an odd prime integer and the fixed point set of the action is S1 then H1(M; Zp) ≠ Zp. The result does not hold for p=2.

Maxim Sokolov's math research

Date received: January 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-21.