Date of Award
Winter 2015
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Ralph M. Kaufmann
Committee Chair
Ralph M. Kaufmann
Committee Member 1
David Ben McReynolds
Committee Member 2
David Gepner
Committee Member 3
James E. McClure
Abstract
We concretely construct a 2-categorically extended topological quantum field theory that extends the Reshetikhin-Turaev TQFT to cobordisms with corners. The source category will be a well chosen 2-category of decorated cobordisms with corners and the target bicategory will be the Kapranov-Voevodsky 2-vector spaces.
Recommended Citation
Tsumara, Yu, "A 2-categorical extension of the Reshetikhin--Turaev theory" (2015). Open Access Dissertations. 572.
https://docs.lib.purdue.edu/open_access_dissertations/572
