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q-series coming from extending Turaev-Viro into the unit disk van der Veen, Roland

Description

The Turaev-Viro invariant is a 3-manifold invariant (TQFT) defined at roots of unity q using a handle decomposition. Following Frohman and Kania Bartoszynska we consider extending the variable q into the unit disk. We will discuss under what conditions one still gets an invariant and give some explicit examples of the ensuing q-series.

Item Metadata

Title
q-series coming from extending Turaev-Viro into the unit disk
Creator
van der Veen, Roland
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2018-03-15T10:29
Description
The Turaev-Viro invariant is a 3-manifold invariant (TQFT) defined at roots of unity q using a handle decomposition. Following Frohman and Kania Bartoszynska we consider extending the variable q into the unit disk. We will discuss under what conditions one still gets an invariant and give some explicit examples of the ensuing q-series.
Extent
54 minutes
Subject
Mathematics; Number theory; Manifolds and cell complexes
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Universiteit Leiden
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2018-09-11
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0372018
URI
http://hdl.handle.net/2429/67152
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International