3 papers
math.GT2020
Skein lasagna modules for 2-handlebodies
Ciprian Manolescu, Ikshu Neithalath
Morrison, Walker, and Wedrich used the blob complex to construct a generalization of Khovanov-Rozansky homology to links in the boundary of a 4-manifold. The degree zero part of th…
math.GT2020
SL(2,C) Floer cohomology for surgeries on some knots
Ikshu Neithalath
We establish a relationship between the sheaf-theoretic SL(2,C) Floer cohomology HP(Y), as defined by Abouzaid and Manolescu, for Y a surgery on a small knot in S^3, and the SL(2,C…
math.GT2019
On the sheaf-theoretic SL(2,C) Casson-Lin invariant
Laurent Côté, Ikshu Neithalath
We prove that the (-weighted, sheaf-theoretic) SL(2,C) Casson-Lin invariant introduced by Manolescu and the first author in [CM19] is generically independent of the parameter $τ…