We introduce a" web-based formalism" for describing the category of half-supersymmetric
boundary conditions in $1+ 1$ dimensional massive field theories with ${\cal N}=(2, 2) …

This paper is about the Fukaya category of a Fano hypersurface X⊂ CP n X⊂CP^n.
Because these symplectic manifolds are monotone, both the analysis and the algebra …

We investigate the relations between algebraic structures, spectral invariants and
persistence modules, in the context of monotone Lagrangian Floer homology with …

I provide two solutions to the problem of categorifying quantum link invariants, which work
uniformly for all gauge groups and originate in geometry and string theory. The first is based …

To a nullhomologous knot $ K $ in a 3-manifold $ Y $, knot Floer homology associates a
bigraded chain complex over $\mathbb {F}[U, V] $ as well as a collection of flip maps; we …

Given a Heegaard splitting of a three-manifold Y, we consider the SL (2, C) character variety
of the Heegaard surface, and two complex Lagrangians associated to the handlebodies. We …

We construct closed arboreal Lagrangian skeleta associated to links of isolated plane curve
singularities. This yields closed Lagrangian skeleta for Weinstein pairs (C 2, Λ) and …

We prove a homological mirror symmetry result for maximally degenerating families of
hypersurfaces in (C∗) n (B-model) and their mirror toric Landau-Ginzburg A-models. The …

There is a generalization of Heegaard-Floer theory from ${\mathfrak {gl}} _ {1| 1} $ to other
Lie (super) algebras $^ L {\mathfrak {g}} $. The corresponding category of A-branes is …

Given an exact Lagrangian submanifold $ L $ in $ T^* N $, we want to construct a complex
of sheaves in the derived category of sheaves on $ N\times {\mathbb R} $, such that its …