Jack Smith

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20242026

most citedHochschild Cohomology of the Fukaya Category via Floer Cohomology with Coefficients

1 citations · 1 across the 1 of their papers we have counts for

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math.SG2026★ 1 cited

Hochschild Cohomology of the Fukaya Category via Floer Cohomology with Coefficients

Jack Smith

Given a monotone Lagrangian $L$ in a compact symplectic manifold $X$ , we construct a commutative diagram relating the closed-open string map $\mathcal{CO}_Î»\colon \operatorname{QH…

math.SG2025

Quantum cohomology and Fukaya summands from monotone Lagrangian tori

Jack Smith

Let $L$ be a monotone Lagrangian torus inside a compact symplectic manifold $X$ , with superpotential $W_{L}$ . We show that a geometrically-defined closed-open map induces a decomposi…

math.SG2024

Homological Lagrangian monodromy for some monotone tori

Marcin Augustynowicz, Jack Smith, Jakub Wornbard

Given a Lagrangian submanifold $L$ in a symplectic manifold $X$ , the homological Lagrangian monodromy group $H_{L}$ describes how Hamiltonian diffeomorphisms of $X$ preserv…

math.SG2024

Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving

Jack Smith

Given a closed, orientable Lagrangian submanifold $L$ in a symplectic manifold $(X, I ¨ )$ , we show that if $L$ is relatively exact then any Hamiltonian diffeomorphism preserving $L$ …