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2003 Some homological invariants of the mapping class group of a three-dimensional handlebody
Susumu Hirose
Tohoku Math. J. (2) 55(4): 543-549 (2003). DOI: 10.2748/tmj/1113247129

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.

Citation

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Susumu Hirose. "Some homological invariants of the mapping class group of a three-dimensional handlebody." Tohoku Math. J. (2) 55 (4) 543 - 549, 2003. https://doi.org/10.2748/tmj/1113247129

Information

Published: 2003
First available in Project Euclid: 11 April 2005

zbMATH: 1059.57009
MathSciNet: MR2017224
Digital Object Identifier: 10.2748/tmj/1113247129

Subjects:
Primary: 57N10
Secondary: 20F38 , 57M50

Keywords: 3-dimensional handlebody , Euler numver , mapping class group , Virtual cohomological dimension

Rights: Copyright © 2003 Tohoku University

Vol.55 • No. 4 • 2003
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