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Some homological invariants of the mapping class group of a three-dimensional handlebody (2003)

Abstract
We show that, if g ≥ 2, the virtual cohomological dimension of the mapping class group of a three-dimensional handlebody of genus $\g$ is equal to $4\g-5$ and its Euler number is equal to 0.

Publication details
Download http://ProjectEuclid.org/getRecord?id=euclid.tmj/1113247129
Publisher Mathematical Institute, Tohoku University
Repository Project Euclid (Hosted at Cornell University Library) (United States)
Keywords 57N10 (MSC2000), 20F38 (MSC2000), 57M50 (MSC2000), Virtual cohomological dimension, Euler numver, 3-dimensional handlebody, mapping class group
Type text
Language Englisch