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Algebraic K-theory of mapping class groups

Ethan Berkove, Daniel Juan-Pineda, Qin Lu

math.KTarXiv:math/0305425

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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