Martijn Kool

Reduced classes and curve counting on surfaces I: theory

We develop a theory of reduced Gromov{Witten and stable pair invariants of surfaces and their canonical bundles. We show that classical Severi degrees are special cases of these invariants. This

Euler characteristics of moduli spaces of torsion free sheaves on toric surfaces

Given a smooth toric variety

Reduced classes and curve counting on surfaces II: calculations

X

Stable reflexive sheaves and localization

X, the action of the torus

Rank 2 wall-crossing and the Serre correspondence

T

STABLE PAIR INVARIANTS OF SURFACES AND SEIBERG–WITTEN INVARIANTS

T lifts to the moduli space