The moduli space of real curves and a Z/2-equivariant Madsen-Weiss theorem
Abstract/Contents
- Abstract
- Galatius, Madsen, Tillmann, and Weiss proved that the classifying space of the category of 2-cobordisms is equivalent to the loopspace of a particular Thom spectrum. We show that this is in fact a Z/2-equivariant equivalence, where we equip all spaces with a Z/2-action which is motivated by complex conjugation of complex curves. In order to do this, we prove an equivariant delooping theorem which shows that grouplike topological monoids with Z/2-action are Z/2-equivalent to loopspaces. Furthermore, we motivate our choice of Z/2-action by showing that it determines a Z/2-space BDiff_g whose fixed points classify real curves.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2013 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Stiennon, Nisan Alexander | |
|---|---|---|
| Associated with | Stanford University, Department of Mathematics. | |
| Primary advisor | Galatius, Søren, 1976- | |
| Thesis advisor | Galatius, Søren, 1976- | |
| Thesis advisor | Church, Thomas (Thomas Franklin) | |
| Thesis advisor | Cohen, Ralph L, 1952- | |
| Advisor | Church, Thomas (Thomas Franklin) | |
| Advisor | Cohen, Ralph L, 1952- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Nisan Alexander Stiennon. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2013. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2013 by Nisan Alexander Stiennon
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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