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Thesis

Configuration spaces and homological stability

Abstract:

In this thesis we study the homological behaviour of configuration spaces as the number of objects in the configuration goes to infinity. For unordered configurations of distinct points (possibly equipped with some internal parameters) in a connected, open manifold it is a well-known result, going back to G. Segal and D. McDuff in the 1970s, that these spaces enjoy the property of homological stability.

In Chapter 2 we prove that this property also holds for so-called oriented confi...

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Institution:
University of Oxford
Oxford college:
Merton College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

Contributors

Role:
Supervisor
Publication date:
2012
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:7e056dbd-2cdd-4eac-9473-53f750371f9a
Local pid:
ora:6886

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