September 20. Robert, Introduction to Ren-Willis.
September 27. Anubhav, What gauge theory tells us.
October 4 & 11. Alison & Isabella, Functoriality of Khovanov homology, the sweep-around move, and the definition of the skein lasagna module.
October 25 & November 1. Fiona & Shikhin, Manolescu-Neithalath's work on computing skein lasagna modules.
November 8. Fraser, Section 4 of Ren-Willis.
November 15. Gheehyun, Section 5 of Ren-Willis.
November 22. Gheehyun, Section 6 of Ren-Willis.
December 6. Gheehyun, more on Section 6 of Ren-Willis.
Our goal: Qiuyu Ren and Michael Willis, "Khovanov homology and exotic 4-manifolds."
Functoriality up to sign of Khovanov homology, inside R^3 x I, via tangle invariants (i.e., the easy way):Â
Mikhail Khovanov, "An invariant of tangle cobordisms."
Dror Bar-Natan, "Khovanov's homology for tangles and cobordisms."
A simple way to resolve the sign ambiguity: Christian Blanchet, "An oriented model for Khovanov homology." (See also the cobordism maps on Lee homology in Jacob Rasmussen, "Khovanov homology and the slice genus.")
Functoriality in S^3 x I, the sweep-around move, and the definition of the skein lasagna module (and its higher stuff): Scott Morrison, Kevin Walker, and Paul Wedrich, "Invariants of 4-manifolds from Khovanov-Rozansky link homology."
A proof of invariance under the sweep-around just in the context of the Lee deformation: Robert Lipshitz and Sucharit Sarkar, "A mixed invariant of non-orientable surfaces in equivariant Khovanov homology," Proposition 3.7. (Lemma 4.7 is also a recapitulation of a relevant lemma from Morrison-Walker-Wedrich.)
The cabling formula for the skein lasgana module of 2-handle attachments: Ciprian Manolescu and Ikshu Neithalath, "Skein lasagna modules for 2-handlebodies."
More on the skein lasagna module and handle attachments: Ciprian Manolescu, Kevin Walker, and Paul Wedrich, "Skein lasagna modules and handle decompositions." (Also has a nice, short explanation of what the skein lasagna module is, in Section 2.)