5 citations · 12 across the 7 of their papers we have counts for
11 papers
Quantum cohomology and Fukaya summands from monotone Lagrangian tori
Jack Smith
Let be a monotone Lagrangian torus inside a compact symplectic manifold , with superpotential . We show that a geometrically-defined closed-open map induces a decomposi…
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving
Jack Smith
Given a closed, orientable Lagrangian submanifold in a symplectic manifold , we show that if is relatively exact then any Hamiltonian diffeomorphism preserving …
Hochschild Cohomology of the Fukaya Category via Floer Cohomology with Coefficients
Jack Smith
Given a monotone Lagrangian in a compact symplectic manifold , we construct a commutative diagram relating the closed-open string map $\mathcal{CO}_λ\colon \operatorname{QH}…
Homological Lagrangian monodromy for some monotone tori
Marcin Augustynowicz, Jack Smith, Jakub Wornbard
Given a Lagrangian submanifold in a symplectic manifold , the homological Lagrangian monodromy group describes how Hamiltonian diffeomorphisms of preserv…
Superfiltered -deformations of the exterior algebra, and local mirror symmetry
Jack Smith
The exterior algebra on a finite-rank free module carries a -grading and an increasing filtration, and the -graded filtered deformations of …
A monotone Lagrangian casebook
Jack Smith
We present an array of new calculations in Lagrangian Floer theory which demonstrate observations relating to symplectic reduction, grading periodicity, and the closed-open map. We…