Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes

(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Cites Work

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Descendent theory for stable pairs on toric 3-folds
Good degeneration of Quot-schemes and coherent systems
Virasoro constraints for target curves
Virtual intersections on the Quot scheme and Vafa-Intriligator formulas
The local Donaldson-Thomas theory of curves
Riemann-Roch theorems and elliptic genus for virtually smooth schemes
On reduced stable pair invariants
Holomorphic anomaly equations and the Igusa cusp form conjecture
Gromov-Witten invariants of the Hilbert schemes of points of a $K3$ surface
Motivic decompositions for the Hilbert scheme of points of a $K3$ surface
Gromov-Witten theory of $K3$ surfaces and a Kaneko-Zagier equation for Jacobi forms
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics
Universality of descendent integrals over moduli spaces of stable sheaves on $K3$ surfaces
Degeneracy loci, virtual cycles and nested Hilbert schemes. I
The Donaldson-Thomas theory of $K3\times E$ via the topological vertex
Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration
Curves on K 3 surfaces and modular forms
Noether-Lefschetz theory and the Yau-Zaslow conjecture
Reduced classes and curve counting on surfaces II: calculations
Counting elliptic plane curves with fixed $j$-invariant
Reduced Donaldson-Thomas invariants and the ring of dual numbers
Elliptic Curves in Hyper-Kähler Varieties
Donaldson–Thomas invariants of abelian threefolds and Bridgeland stability conditions
Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties
Localized Donaldson-Thomas theory of surfaces
Degeneracy loci, virtual cycles and nested Hilbert schemes II
Localizing virtual cycles by cosections
THE KATZ–KLEMM–VAFA CONJECTURE FOR SURFACES
Gromov–Witten Theory of $\text{K3} \times {\mathbb{P}}^1$ and Quasi-Jacobi Forms
Curves on K3 surfaces in divisibility 2
M-theory, topological strings and spinning black holes
String partition functions and infinite products
Marked relative invariants and GW/PT correspondences