4 papers · 1 filter
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…
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…