6 citations · 11 across the 4 of their papers we have counts for
8 papers
Counting Plane Rational Curves: Old and New Approaches
Aleksey Zinger
These notes are intended as an easy-to-read supplement to part of the background material presented in my talks on enumerative geometry. In particular, the numbers and …
On the Genus-One Gromov-Witten Invariants of Complete Intersections
Jun Li, Aleksey Zinger
As shown in a previous paper, certain naturally arising cones of holomorphic vector bundle sections over the main component $\ov\M_{1,k}^0(¶,d)$ of the moduli space of stable genus…
On the Genus-One Gromov-Witten Invariants of a Quintic Threefold
Jun Li, Aleksey Zinger
We rederive a relation between the genus-one GW-invariants of a quintic threefold in $\Pf$ and the genus-zero and genus-one GW-invariants of $\Pf$. In contrast to the more general…
On the Structure of Certain Natural Cones over Moduli Spaces of Genus-One Holomorphic Maps
Aleksey Zinger
We show that certain naturally arising cones over the main component of a moduli space of -holomorphic maps into have a well-defined euler class. We also prove that this…
Enumeration of One-Nodal Rational Curves in Projective Spaces
A. Zinger
We give a formula computing the number of one-nodal rational curves that pass through an appropriate collection of constraints in a complex projective space. We combine the methods…
Enumerative vs. Symplectic Invariants and Obstruction Bundles
A. Zinger
We give detailed descriptions of gluing pseudoholomorphic maps in symplectic geometry, especially in the presence of an obstruction bundle. The main motivation is to try to compare…