A duality theorem for deligne-mumford stacks with respect to Morava K-theory
Abstract/Contents
- Abstract
- In [7] Greenlees and Sadofsky used a transfer map to show that the classifying spaces of finite groups are self-dual with respect to Morava K-theory K(n). By regarding these classifying spaces as the homotopy types of certain differentiable stacks, their construction can be viewed as a stack version of Spanier-Whitehead type construction. From this point of view, we will extend their results and prove a K(n)-version of Poincare duality for Deligne-Mumford stacks. A few examples of stacks defined by finite groups and moduli stack of Riemann surfaces will be discussed at the end.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2011 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Cheng, Man Chuen | |
|---|---|---|
| Associated with | Stanford University, Department of Mathematics | |
| Primary advisor | Galatius, Søren, 1976- | |
| Thesis advisor | Galatius, Søren, 1976- | |
| Thesis advisor | Carlsson, G. (Gunnar), 1952- | |
| Thesis advisor | Cohen, Ralph L, 1952- | |
| Advisor | Carlsson, G. (Gunnar), 1952- | |
| Advisor | Cohen, Ralph L, 1952- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Man Chuen Cheng. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Ph.D. Stanford University 2011 |
| Location | electronic resource |
Access conditions
- Copyright
- © 2011 by Man Chuen Cheng
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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