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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Bibliographic Details
Main Author: Cantero Morán, Federico
Other Authors: Casacuberta, Carles
Format: Doctoral Thesis
Language:English
Published: Universitat de Barcelona 2013
Subjects:
Online Access:http://hdl.handle.net/10803/129511