2023-07-26 |
13:00-14:00 |
2023-07-26,13:00-14:00 | LR8 (A3-4 3F) |
07-26 Afternoon Math Lecture Room 8 (A3-4 3F)
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Speaker |
Rozansky-Witten theory and KZ-equations Rozansky-Witten theory is a 3d TQFT which is formulated in terms of a sigma model with a hyperk\"{a}hler target space. We focus on the case where the Hyperk\"{a}hler manifold is a K3 surface and analyze the corresponding TQFT with regard to a braided tensor category structure. To this end we formulate KZ-equations from which we extract the associator of the tensor category. This then leads to a representation of the braid group which we discuss.
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