Duality and linear approximations in Hochschild homology, K-theory, and string topology
Abstract/Contents
- Abstract
- This thesis encompasses at least three separate but related projects. The first project is a treatment of twisted Poincare duality for manifolds with coefficients in spectra, and is included as an appendix. The second project investigates the map from the stabilization of the gauge group of a certain principal bundle over a manifold M to the Cohen-Jones string topology spectrum of M. This map is a linear approximation in the sense of Goodwillie and Weiss's embedding calculus. The third project is an ongoing and open-ended exploration of contravariant forms of algebraic K-theory of spaces, with a focus on topological Hochschild homology.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2014 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Malkiewich, Cary |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Cohen, R. L. (Ralph L.) |
| Thesis advisor | Cohen, R. L. (Ralph L.) |
| Thesis advisor | Carlsson, Gunnar |
| Thesis advisor | Galatius, Søren, 1976- |
| Thesis advisor | Ganatra, Sheel |
| Advisor | Carlsson, Gunnar |
| Advisor | Galatius, Søren, 1976- |
| Advisor | Ganatra, Sheel |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Cary Malkiewich. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2014. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2014 by Cary Lorne Malkiewich
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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