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Some homological invariants of mapping class group of a 3-dimensional handlebody

Susumu Hirose
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Abstract

We show that, if g is more than or equal to 2, the virtual cohomological dimension of the mapping class group of a 3-dimensional handlebody of genus g is equal to 4g-5 and the Euler number of it is equal to 0.

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Susumu Hirose. 2001-02-23. Some homological invariants of mapping class group of a 3-dimensional handlebody. https://arxiv.org/abs/math/0102184

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