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Kontsevich integral with a non-even associator and cabling

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Jan Pulmann
University of Geneva
Mon, 14/05/2018 - 16:30 - 18:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Le and Murakami have shown that the Kontsevich integral of tangles is compatible with the so-called
cabling - operation of doubling a strand. However, to achieve this, one needs to use an even Drinfeld associator.

In this talk, we will show that a similar approach for a general associator is not possible.
We will start by explaining the approach of Le and Murakami to the Kontsevich integral. Then, we will show
that, for a general associator, it's not possible to modify the normalization of the Kontsevich integral to be compatible with cabling. At the end, we will explain our original motivation to studying this problem: quantization of a moduli spaces of flat connections on a surface with marked points.
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