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