32 citations · 76 across the 11 of their papers we have counts for
12 papers
Higher Koszul duality and -affineness
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
In this paper we study -Koszul duality in the topological setting, and the closely related question of \emph{-affineness} for Betti stacks. The -Kosz…
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…
Higher local systems and the categorified monodromy equivalence
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
We study local systems of -categories on spaces. We prove that categorical local systems are captured by (higher) monodromy data: in particular, if is -conne…
Remarks on the equivalence between differential graded categories and A-infinity categories
James Pascaleff
We show that the homotopy theories of differential graded categories and -categories over a field are equivalent at the -categorical level. The resul…
Singularity categories of normal crossings surfaces, descent, and mirror symmetry
James Pascaleff, Nicolò Sibilla
Given a smooth 3-fold , a line bundle , and a section of such that the vanishing locus of is a normal crossings surface with graph-like singular locus,…
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…
Topological Fukaya category and mirror symmetry for punctured surfaces
James Pascaleff, Nicolò Sibilla
In this paper we establish a version of homological mirror symmetry for punctured Riemann surfaces. Following a proposal of Kontsevich we model A-branes on a punctured surface …
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…