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Knots in Washington XXVIII; Follow up to Workshop on Knots and Quantum Computing (December, 2007 at UT Dallas)
February 27 - March 1, 2009
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UTD), Jozef H. Przytycki (GWU), Vish Ramakrishna (UTD), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Hao Wu (GWU)

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The mapping class group cannot be realized by homeomorphisms
by
Dragomir Saric
Queens College CUNY
Coauthors: Vladimir Markovic

The mapping class group MCG(S) of a closed surface S of genus at least 2 is quotient of the group of homeomorphisms Homeo(S) by the subgroup Homeo_0(S) of homeomorphisms homotopic to the identity. We show that MCG(S) does not homeomorphically lift to Homeo(S) which answers a question of Nielsen. This is a joint work with V. Markovic.

Paper reference: arXiv:0807.0182

Date received: February 23, 2009

Copyright © 2009 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 # cayk-12.