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Algebraic K-theory of mapping class groups

Ethan Berkove·Daniel Juan-Pineda·Qin Lu
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Abstract

We prove that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-groups, showing that they do not always vanish.

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Ethan Berkove, Daniel Juan-Pineda, Qin Lu. 2003-05-29. Algebraic K-theory of mapping class groups. https://arxiv.org/abs/math/0305425

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