We study linear actions of algebraic groups on smooth projective varieties X. A guiding goal
for us is to understand the cohomology of" quotients" under such actions, by generalizing …

Quantum singularity theory via cosection localization Skip to content Should you have
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In this paper we shall give formulas for the pairings of intersection cohomology classes of
complementary dimensions in the intersection cohomology of geometric invariant-theoretic …

Let $ H $ be a complex linear algebraic group with internally graded unipotent radical acting
on a complex projective variety $ X $. Given an ample linearisation of the action and an …

We explore the cohomological structure for the (possibly singular) moduli of SL n SL_n‐
Higgs bundles for arbitrary degree on a genus gg curve with respect to an effective divisor of …

Coincident root loci are subvarieties of SdC2—the space of binary forms of degree d—
labeled by partitions of d. Given a partition λ, let Xλ be the set of forms with root multiplicity …

Suppose a connected reductive complex algebraic group G acts linearly on an irreducible
complex projective variety X. We prove that if [Formula: see text] is a short exact sequence of …

Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold.
We find descriptions of the kernel of the Kirwan map corresponding to a regular value of the …

This paper studies intersection theory on the compactified moduli space\cal M (n,d) of
holomorphic bundles of rank n and degree d over a fixed compact Riemann surface Σ of …

We develop a novel approach to the topology of singular symplectic quotients by extending
Sjamaar's complex of differential forms to the complex of resolution differential forms. The …