104 citations · 452 across the 22 of their papers we have counts for
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Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
D. Maulik, A. Oblomkov, A. Okounkov +1
We prove the equivariant Gromov-Witten theory of a nonsingular toric 3-fold X with primary insertions is equivalent to the equivariant Donaldson-Thomas theory of X. As a corollary,…
Maps, sheaves, and K3 surfaces
R. Pandharipande
The conjectural equivalence of curve counting on Calabi-Yau 3-folds via stable maps and stable pairs is discussed. By considering Calabi-Yau 3-folds with K3 fibrations, the corresp…
Noether-Lefschetz theory and the Yau-Zaslow conjecture
A. Klemm, D. Maulik, R. Pandharipande +1
The Yau-Zaslow conjecture determines the reduced genus 0 Gromov-Witten invariants of K3 surfaces in terms of the Dedekind eta function. Classical intersections of curves in the mod…
Descendent bounds for effective divisors on the moduli space of curves
R. Pandharipande
The slope of the moduli space of genus g curves is bounded from below by 60/(g+4) via a descendent calculation.
Enumerative Geometry of Calabi-Yau 5-Folds
R. Pandharipande, A. Zinger
Gromov-Witten theory is used to define an enumerative geometry of curves in Calabi-Yau 5-folds. We find recursions for meeting numbers of genus 0 curves, and we determine the contr…