Hybrid talk.
Contact for details: Tobias Barthel, Viktoriya Ozornova, Aru Ray, Peter Teichner.
We describe progress towards a bordered Atiyah-Floer counterpart of Kronheimer-Mrowka’s
singular instanton homology, with a focus on 2-tangles in 3-balls and their perturbed traceless character varieties, which are smooth curves in a certain 2-d flat SU(2) moduli space (called the pillowcase), We further describe a non-trivial morphism induced from the Kronheimer-Mrowka “earring” tangle from the wrapped Fukaya category of the pillowcase to the (compact) Fukaya category of the pillowcase, and its relation to Khovanov homology.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/TopologySeminar