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THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY

Abstract:
The natural action of the mapping class group of an orientable or non-orientable surface on its fundamental group induces a group homomorphism into the automorphism group of a free group. In the light of a recent theorem, we determine here the map on stable homology. © 2009. Published by Oxford University Press. All rights reserved.
Publication status:
Published

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Publisher copy:
10.1093/qmath/hap009
Journal:
QUARTERLY JOURNAL OF MATHEMATICS
Volume:
61
Issue:
3
Pages:
373-380
Publication date:
2010-09-01
DOI:
EISSN:
1464-3847
ISSN:
0033-5606
Language:
English
Pubs id:
pubs:71204
UUID:
uuid:141b9be1-ef51-4b8a-b95a-e142186c9cb5
Local pid:
pubs:71204
Source identifiers:
71204
Deposit date:
2012-12-19

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