6 citations · 11 across the 4 of their papers we have counts for
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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…
Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2 and P^3
A. Zinger
We express the genus-two fixed-complex-structure enumerative invariants of P^2 and P^3 in terms of the genus-zero enumerative invariants. The approach is to relate each genus-two f…
Completion of Katz-Qin-Ruan's Enumeration of Genus-Two Plane Curves
A. Zinger
We give a formula for the number of genus-two fixed-complex-structure degree-d plane curves passing through 3d-2 points in general position. This is achieved by completing Katz-Qin…