18 citations · 26 across the 5 of their papers we have counts for
5 papers · 1 filter
Semi-orthogonality in Fukaya-Seidel mirrors to blowups of abelian varieties
Catherine Cannizzo, Sara Venkatesh
We prove evidence of Kontsevich's homological mirror symmetry conjecture (HMS) for a blow-up of an abelian surface times the complex plane, on the complex side, and its symplectic…
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…
Periodic leaf-wise intersection points from Lagrangians
Sara Venkatesh
We investigate leaf-wise intersection points on hypersurfaces of contact type in monotone symplectic manifolds. We show that monotone Floer-essential Lagrangians detect periodic le…
The quantitative nature of reduced Floer theory
Sara Venkatesh
We study the reduced symplectic cohomology of disk subbundles in negative symplectic line bundles. We show that this cohomology theory "sees" the spectrum of a quantum action on qu…
Rabinowitz Floer homology and mirror symmetry
Sara Venkatesh
We define a quantitative invariant of Liouville cobordisms with monotone filling through an action-completed symplectic cohomology theory. We illustrate the non-trivial nature of t…