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Knots in Washington XXIII; Quandles, their homology and ramifications
November 17-19, 2006
George Washington University
Washington DC, USA

Organizers
Jozef H. Przytycki (GWU), przytyck@gwu.edu, Yongwu Rong (GWU), rong@gwu.edu, Alexander Shumakovitch (GWU), shurik@gwu.edu

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Virtual automorphisms as mapping classes
by
Dragomir Saric
Queens College CUNY
Coauthors: Sylvain Bonnot and Robert Penner

We consider the group Vaut(p1 (S)) of virtual automorphisms of a punctured surface group p1(S). By a result of C. Odden, this group is the mapping class group of a solenoid. We use Whitehead moves and an appropriate combinatorial object (the triangulation complex) to give generators and a presentation of Vaut(p1 (S)). The talk will be elementary with some background on the mapping class group of a surface.

Date received: November 10, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # catp-08.