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

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 Univ...

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Main Author: Tillmann, U
Format: Journal article
Language:English
Published: 2010
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author Tillmann, U
author_facet Tillmann, U
author_sort Tillmann, U
collection OXFORD
description 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.
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spelling oxford-uuid:141b9be1-ef51-4b8a-b95a-e142186c9cb52022-03-26T10:17:41ZTHE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGYJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:141b9be1-ef51-4b8a-b95a-e142186c9cb5EnglishSymplectic Elements at Oxford2010Tillmann, UThe 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.
spellingShingle Tillmann, U
THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
title THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
title_full THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
title_fullStr THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
title_full_unstemmed THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
title_short THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
title_sort representation of the mapping class group of a surface on its fundamental group in stable homology
work_keys_str_mv AT tillmannu therepresentationofthemappingclassgroupofasurfaceonitsfundamentalgroupinstablehomology
AT tillmannu representationofthemappingclassgroupofasurfaceonitsfundamentalgroupinstablehomology