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q-series coming from extending Turaev-Viro into the unit disk

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Veen, Roland van der

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q-series coming from extending Turaev-Viro into the unit disk
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9
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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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.