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Algebraic K-theory of mapping class groups
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Abstract
We show 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.
Title
Algebraic K-theory of mapping class groups
Creator
Berkove, Ethan
Lu, Qin
Juan-Pineda, D.
Publisher
K-Theory
Academic Department
Mathematics
Division
Natural Sciences
Organization
Lafayette College
Date Issued
May 2004
Date Available
2016-04-28T15:48:57Z
Type
Article
Language
English
Keyword
mapping class group
strongly poly-free group
fixed point data
Farrell-Jones isomorphism conjecture
lower algebraic K-theory
configuration space
Bibliographic Citation
Berkove, E., D. Juan-Pineda, and Q. Lu (2004 May) "Algebraic K-theory of mapping class groups." K-Theory 32 (1): 83-100.
Standard Identifier
DOI
10.1023/B:KTHE.0000035022.89851.9b
Handle
10385/2112
Permalink
http://hdl.handle.net/10385/2112
Rights Statement
In Copyright
Rights Holders
Kluwer Academic Publishers
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Berkove-KTheory-vol32-2004.pdf
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