4 papers
Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds
Laurent Côté, Georgios Dimitroglou Rizell
We classify weakly exact, rational Lagrangian tori in up to Hamiltonian isotopy. This result is related to the classification theory of closed…
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…
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…
On linking of Lagrangian tori in
Laurent Côté
We prove some results about linking of Lagrangian tori in the symplectic vector space . We show that certain enumerative counts of holomophic disks give useful i…