activity
20182021
most citedA sheaf-theoretic SL(2,C) Floer homology for knots

7 citations · 8 across the 5 of their papers we have counts for

collaborators

7 papers

math.SG2021★ 1 cited

On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov

Shaoyun Bai, Laurent Côté

We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On…

math.SG2020

Some constructions of Weinstein manifolds with chaotic Reeb dynamics

Laurent Côté

The goal of this note is to describe some constructions of Weinstein manifolds with chaotic Reeb dynamics, and to explain how this property can sometimes be detected directly from…

math.SG2020

Homological invariants of codimension 2 contact submanifolds

Laurent Côté, François-Simon Fauteux-Chapleau

Codimension 2 contact submanifolds are the natural generalization of transverse knots to contact manifolds of arbitrary dimension. In this paper, we construct new invariants of cod…

math.SG2019

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…

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★ 7 cited

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…