95 citations · 97 across the 6 of their papers we have counts for
6 papers · 1 filter
Homological mirror symmetry for Batyrev mirror pairs
Sheel Ganatra, Andrew Hanlon, Jeff Hicks +2
We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed…
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…
Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity
Sheel Ganatra, Yuan Gao, Sara Venkatesh
This paper constructs and studies the Rabinowitz (wrapped) Fukaya category, a categorical invariant of exact cylindrical Lagrangians in a Liouville manifold whose cohomological mor…
Categorical non-properness in wrapped Floer theory
Sheel Ganatra
In all known explicit computations on Weinstein manifolds, the self-wrapped Floer homology of non-compact exact Lagrangian is always either infinite-dimensional or zero. We show th…
Symplectic cohomology rings of affine varieties in the topological limit
Sheel Ganatra, Daniel Pomerleano
We construct a multiplicative spectral sequence converging to the symplectic cohomology ring of any affine variety , with first page built out of topological invariants associat…
Symplectic cohomology and duality for the wrapped Fukaya category
Sheel Ganatra
Consider the wrapped Fukaya category W of a collection of exact Lagrangians in a Liouville manifold. Under a non-degeneracy condition implying the existence of enough Lagrangians,…