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Equivariant scanning and stable splittings of configuration spaces

Abstract:

We give a definition of the scanning map for configuration spaces that is equivariant under the action of the diffeomorphism group of the underlying manifold. We use this to extend the Bödigheimer-Madsen result for the stable splittings of the Borel constructions of certain mapping spaces from compact Lie group actions to all smooth actions. Moreover, we construct a stable splitting of configuration spaces which is equivariant under smooth group actions, completing a zig-zag of equivariant...

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Institution:
University of Oxford
Research group:
Topology
Oxford college:
St Cross College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

Contributors

Role:
Supervisor
Publication date:
2012
Type of award:
MSc
Level of award:
Masters
URN:
uuid:b44e2382-487d-4e70-aeab-3c2303846dcb
Local pid:
ora:8406

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