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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…
math.GT2018
A sheaf-theoretic SL(2,C) Floer homology for knots
Laurent Côté, Ciprian Manolescu
Using the theory of perverse sheaves of vanishing cycles, we define a homological invariant of knots in three-manifolds, similar to the three-manifold invariant constructed by Abou…