Homology Stability for Spaces of Surfaces
In this thesis we study the space of compact connected oriented genus g subsurfaces of a fixed manifold M, and in particular its homological properties. We construct a “scanning map” which compares this space to the space of sections of a certain fibre bundle over M associated to its tangent bundle...
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Format: | Doctoral Thesis |
Language: | English |
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Universitat de Barcelona
2013
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Online Access: | http://hdl.handle.net/10803/129511 |