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Purdue University

A 2-categorical extension of the Reshetikhin--Turaev theory

Abstract

dc:description.abstract

<p>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.</p>

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy (PhD)
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Year
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Tsumara, Yu
Contributors dc:contributor
  • Ralph M. Kaufmann
  • David Ben McReynolds
  • David Gepner
  • James E. McClure

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:docs.lib.purdue.edu:open_access_dissertations-1539

Chain of custody

source
Harvested from
Purdue University
Base URL
docs.lib.purdue.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Tsumara, Yu. A 2-categorical extension of the Reshetikhin--Turaev theory. Dissertation thesis, 2015. https://docs.lib.purdue.edu/open_access_dissertations/572