Grady, Daniel
(2015)
Massey products in differential cohomology.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
We generalize Massey products to differential cohomology and relate these products to trivializations of higher bundles equipped with connection. The construction presented here is analogous to the construction of matric Massey products given by Peter May, but generalized to sheaves. We also prove a theorem regarding the refinement of the singular Massey product to differential cohomology.
Share
| Citation/Export: |
|
| Social Networking: |
|
Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
| Creators | Email | Pitt Username | ORCID  |
|---|
| Grady, Daniel | djg50 | DJG50 | |
|
| ETD Committee: |
|
| Date: |
18 September 2015 |
| Date Type: |
Publication |
| Defense Date: |
5 August 2015 |
| Approval Date: |
18 September 2015 |
| Submission Date: |
10 August 2015 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Number of Pages: |
129 |
| 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: |
Differential Massey products, Differential cohomology, Massey products, Higher Massey products |
| Date Deposited: |
18 Sep 2015 20:45 |
| Last Modified: |
15 Nov 2016 14:29 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/25944 |
Metrics
Monthly Views for the past 3 years
Plum Analytics
Actions (login required)
 |
View Item |
![[img]](http://d-scholarship.pitt.edu/style/images/fileicons/application_pdf.png)
![[feed]](/images/feed-icon-32x32.png){kind=icon}