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math.SG2023
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene--Plesser mirrors
Sheel Ganatra, Andrew Hanlon, Jeff Hicks +2
We prove the `integrality of Taylor coefficients of mirror maps' conjecture for Greene--Plesser mirror pairs as a natural byproduct of an arithmetic refinement of homological mirro…
math.SG2023
The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories
Daniel Pomerleano, Paul Seidel
Take a closed monotone symplectic manifold containing a smooth anticanonical divisor. The quantum connection on its cohomology has singularities at zero and infinity (in the quantu…
math.SG2023
Coulomb branch algebras via symplectic cohomology
Eduardo Gonzalez, Cheuk Yu Mak, Daniel Pomerleano
Let be a compact symplectic manifold with convex boundary and . Suppose that is equipped with a convex Hamiltonian -action for som…