In this thesis we make several contributions to the theory of moduli spaces of smooth manifolds, especially in dimension two.
In Chapter 2 (joint with Soren Galatius) we give a new geometric proof of a generalisation of the Madsen-Weiss theorem, which does not rely on the tangential structure under investigation having homological stability. This allows us to compute the stable homology of moduli spaces of surfaces equipped with many different tangential structures.
In Chapte...Expand abstract
- Publication date:
- Type of award:
- Level of award:
- Awarding institution:
- Oxford University, UK
- Local pid:
- Copyright holder:
- Oscar Randal-Williams
- Copyright date:
- This thesis is not currently available in ORA
Stable moduli spaces of manifolds
If you are the owner of this record, you can report an update to it here: Report update to this record