Algebraic K-Theory of Mapping Class Groups, by Ethan Berkove, Daniel Juan-Pineda, and Qin Lu

Algebraic K-Theory of Mapping Class Groups, by Ethan Berkove, Daniel Juan-Pineda, and Qin Lu

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 <berkovee@lafayette.edu>

Daniel Juan-Pineda <daniel@matmor.unam.mx>

Qin Lu <luq@lafayette.edu>