11 papers
Log Calabi-Yau compactifications of character varieties
Hülya Argüz, Pierrick Bousseau
We prove that the character varieties of compact oriented surfaces and the generic relative character varieties of punctured surfaces admit di…
Geometric helices on del Pezzo surfaces from tilting
Pierrick Bousseau
We prove that all geometric helices in the derived category of coherent sheaves on a del Pezzo surface are related by a sequence of elementary operations: rotation, shifting, ortho…
Holomorphic Floer theory and Donaldson-Thomas invariants
Pierrick Bousseau
We present several expected properties of the holomorphic Floer theory of a holomorphic symplectic manifold. In particular, we propose a conjecture relating holomorphic Floer theor…
Strong positivity for the skein algebras of the -punctured sphere and of the -punctured torus
Pierrick Bousseau
The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the character variety of a topological surface. We realize the skein algebra of t…
A proof of N.Takahashi's conjecture for and a refined sheaves/Gromov-Witten correspondence
Pierrick Bousseau
We prove N.Takahashi's conjecture determining the contribution of each contact point in genus- maximal contact Gromov-Witten theory of relative to a smooth cubic…
Scattering diagrams, stability conditions, and coherent sheaves on
Pierrick Bousseau
We show that a purely algebraic structure, a two-dimensional scattering diagram, describes a large part of the wall-crossing behavior of moduli spaces of Bridgeland semistable obje…