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

Yu Tsumura, Purdue University

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.^

Degree

Ph.D.

Advisors

Ralph Kaufmann, Purdue University.

Subject Area

Mathematics

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