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Massey products in differential cohomology

Grady, Daniel (2015) Massey products in differential cohomology. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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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.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Grady, Danieldjg50DJG50
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairHisham, Satihsati@pitt.eduHSATI
Committee MemberHales, Thomasthales@pitt.eduTHALES
Committee MemberDeBlois, Jasonjdeblois@pitt.eduJDEBLOIS
Committee MemberFiorenza,
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


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