Yarosh, Aliaksandra
(2017)
Computations in Twisted Morava K-theory.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
This is the latest version of this item.
Abstract
In this dissertation we compute twisted Morava K-theory of all connective covers of the stable orthogonal group and stable unitary group, their classifying spaces, as well as spheres and Eilenberg-MacLane spaces. We employ techniques from [SW15] such as the universal coefficient theorem and Atiyah-Hirzebruch spectral sequence, and develop a similar theory for twists by mod 2 Eilenberg-MacLane spaces.
We establish that in all cases, there are only two possibilities: either the twisted homology vanishes, or it is isomorphic to untwisted homology.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
| Creators | Email | Pitt Username | ORCID  |
|---|
| Yarosh, Aliaksandra | aly21@pitt.edu | aly21 | |
|
| ETD Committee: |
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| Date: |
28 September 2017 |
| Date Type: |
Publication |
| Defense Date: |
2 August 2017 |
| Approval Date: |
28 September 2017 |
| Submission Date: |
9 August 2017 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Number of Pages: |
73 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
twisted cohomology, generalized cohomology, k-theory, morava k-theory |
| Date Deposited: |
29 Sep 2017 01:17 |
| Last Modified: |
29 Sep 2017 01:17 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/33127 |
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