Thesis
Configuration spaces and homological stability
- Abstract:
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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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Bibliographic Details
- Publication date:
- 2012
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- Oxford University, UK
- URN:
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uuid:7e056dbd-2cdd-4eac-9473-53f750371f9a
- Local pid:
- ora:6886
Item Description
- Language:
- English
- Keywords:
- Subjects:
Terms of use
- Copyright holder:
- Martin Palmer
- Copyright date:
- 2013
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