(2+1)-dimensional TQFT model for colored turaev-viro invariants

Yuya Koda; Taiji Taniguchi

doi:10.1093/imrn/rnr238

(2+1)-dimensional TQFT model for colored turaev-viro invariants

Yuya Koda, Taiji Taniguchi

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a (2+1)-dimensional TQFT model for the colored Turaev-Viro invariants, considering a relative version of these invariants. We then describe the linear maps corresponding to cobordisms of tori with an embedded colored θ-curve. This enables us to give a formula for torus knots in a lens space.

Original language	English
Pages (from-to)	218-242
Number of pages	25
Journal	International Mathematics Research Notices
Volume	2013
Issue number	1
DOIs	https://doi.org/10.1093/imrn/rnr238
Publication status	Published - 2013 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rnr238

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title = "(2+1)-dimensional TQFT model for colored turaev-viro invariants",

abstract = "We provide a (2+1)-dimensional TQFT model for the colored Turaev-Viro invariants, considering a relative version of these invariants. We then describe the linear maps corresponding to cobordisms of tori with an embedded colored θ-curve. This enables us to give a formula for torus knots in a lens space.",

author = "Yuya Koda and Taiji Taniguchi",

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(2+1)-dimensional TQFT model for colored turaev-viro invariants

Abstract

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