32 citations · 76 across the 11 of their papers we have counts for
7 papers · 1 filter
Speculations on higher Fukaya categories
James Pascaleff, Nicolò Sibilla
We investigate a possible theory of higher Fukaya categories associated to -shifted symplectic stacks, where . We consider two paradigmatic cases, the shifted cotangen…
Fukaya categories of higher-genus surfaces and pants decompositions
James Pascaleff, Nicolò Sibilla
In this paper we prove a local-to-global principle for the Fukaya category of a closed Riemann surface of genus . We show that can be glued from the…
Poisson geometry, monoidal Fukaya categories, and commutative Floer cohomology rings
James Pascaleff
We describe connections between concepts arising in Poisson geometry and the theory of Fukaya categories. The key concept is that of a symplectic groupoid, which is an integration…
The wall-crossing formula and Lagrangian mutations
James Pascaleff, Dmitry Tonkonog
We prove a general form of the wall-crossing formula which relates the disk potentials of monotone Lagrangian submanifolds with their Floer-theoretic behavior away from a Donaldson…
Floer cohomology of -equivariant Lagrangian branes
Yanki Lekili, James Pascaleff
Building on Seidel-Solomon's fundamental work, we define the notion of a -equivariant Lagrangian brane in an exact symplectic manifold where $\mathfrak{g} \subset…
On the symplectic cohomology of log Calabi-Yau surfaces
James Pascaleff
This article studies the symplectic cohomology of affine algebraic surfaces that admit a compactification by a normal crossings anticanonical divisor. Using a toroidal structure ne…
Floer cohomology in the mirror of the projective plane and a binodal cubic curve
James Pascaleff
We construct a family of Lagrangian submanifolds in the Landau--Ginzburg mirror to the projective plane equipped with a binodal cubic curve as anticanonical divisor. These objects…