Reading course on lasagna modules

This is an informal reading course on lasagna modules for 4-manifolds in Winter 2023.
The seminar meets on Fridays at 1-2pm.

Program


(Eugene) Definition of Lasagna module [MWW19] Notes

(Ian) Cabled Khovanov homology [MN20,Section 3] Notes

(Ian) 0-framed unknot [MN20,Section 5] Notes

(Ian) Arc algebras [MN20,Section 6.1] Notes

Course materials

Lasagna modules
  1. [MWW19] S. Morrison, K. Walker, P. Wedrich. Invariants of 4-manifolds from Khovanov-Rozansky link homology. https://arxiv.org/abs/1907.12194
  2. [MN20]C. Manolescu, I. Neithalath. Skein lasagna modules for 2-handlebodies. https://arxiv.org/abs/2009.08520
  3. [MWW22]C. Manolescu, K. Walker, P. Wedrich. Skein lasagna modules and handle decompositions. https://arxiv.org/abs/2206.04616
Further reading
  1. M. Willis. Khovanov homology for links in #r(S2xS1). https://arxiv.org/abs/1812.06584
  2. L. Rozansky. A categorification of the stable SU(2) Witten-Reshetikhin-Turaev invariant of links in S2 x S1. https://arxiv.org/abs/1011.1958
  3. M. Khovanov. Crossingless matchings and the cohomology of (n,n) Springer varieties. https://arxiv.org/abs/math/0202110
  4. M. Khovanov. A functor-valued invariant of tangles. https://arxiv.org/abs/math/0103190