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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Format: | Journal article |
Language: | English |
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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. |
first_indexed | 2024-03-06T19:02:46Z |
format | Journal article |
id | oxford-uuid:141b9be1-ef51-4b8a-b95a-e142186c9cb5 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T19:02:46Z |
publishDate | 2010 |
record_format | dspace |
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 |