Let $ H_2 $ be the Lie algebra of polynomial Hamiltonian vector fields on the symplectic
plane. Let $ X $ be the moduli space of stable Higgs bundles of fixed relatively prime rank …

For G= GL 2, PGL 2, SL 2 we prove that the perverse filtration associated with the Hitchin
map on the rational cohomology of the moduli space of twisted G-Higgs bundles on a …

Hyperplane arrangement theory is a very active area of research, combining ideas from
combinatorics, algebraic topology and algebraic geometry in a blend that is both tasty and …

We study the unwrapped Fukaya category of Lagrangian branes ending on a Legendrian
knot. Our knots live at contact infinity in the cotangent bundle of a surface, the Fukaya …

We define and study a sheaf-theoretic cohomological Hall algebra for suitably geometric
Abelian categories $\mathcal {A} $ of homological dimension at most two, and a sheaf …

In this paper, we propose an ansatz for defining Gopakumar–Vafa invariants of Calabi–Yau
threefolds, using perverse sheaves of vanishing cycles. Our proposal is a modification of a …

We take another approach to Hitchin's strategy of computing the cohomology of moduli
spaces of Higgs bundles by localization with respect to the circle action. Our computation is …

We propose a general conjecture for the mixed Hodge polynomial of the generic character
varieties of representations of the fundamental group of a Riemann surface of genus g to GL …

Multiple zeta values: from numbers to motives Page 1 Clay Mathematics Proceedings
Multiple zeta values: from numbers to motives José Ignacio Burgos Gil and Javier Fresán …

We study the topology of Hitchin fibrations via abelian surfaces. We establish the P= W
conjecture for genus $2 $ curves and arbitrary rank. In higher genus and arbitrary rank, we …