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Department of Mathematics,
University of California San Diego

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Topology Colloquium

Daniel Biss

University of Chicago

$K_g$ is not finitely generated

Abstract:

In joint work with Benson Farb, we show that $K_g$, a certain subgroup of the mapping class group of a genus $g$ surface, is not finitely generated. $K_g$ is the group generated by Dehn twists about null-homologous (separating) curves; it is also known as the kernel of the Johnson homomorphism out of the Torelli group. No background will be assumed.

Host: Nitya Kitchloo

December 7, 2005

2:00 PM

AP&M 6218

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