Rozansky-Witten models are candidates for 3-dimensional topological
functorial field theories, constructed from non-semisimple data. Based
on a path integral analysis, Kapustin and Rozansky proposed a rich 3-
categorical structure that is expected to govern all Rozansky-Witten
models and their defects. By truncation and restriction to affine
geometries and their orbifolds, one obtains a symmetric monoidal
(\infty,2)-category C. With the help of the cobordism hypothesis, we
classify and explicitly compute extended TQFTs with values in C.
For zoom details contact Peter Teichner (teichner@mpim-bonn.mpg.de) or David Reutter.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/11043