14 citations · 15 across the 2 of their papers we have counts for
8 papers
The closed topological vertex via the Cremona transform
Jim Bryan, Dagan Karp
We compute the local Gromov-Witten invariants of the "closed vertex", that is, a configuration of three rational curves meeting in a single triple point in a Calabi-Yau threefold.…
Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory
Jim Bryan, Rahul Pandharipande
We continue our study of the local Gromov-Witten invariants of curves in Calabi-Yau 3-folds. We define relative invariants for the local theory which give rise to a 1+1-dimensional…
Evidence for a conjecture of Pandharipande
Jim Bryan
In his paper "Hodge integrals and degenerate contributions", Pandharipande studied the relationship between the enumerative geometry of certain 3-folds and the Gromov-Witten invari…
G-bundles on Abelian surfaces, hyperkahler manifolds, and stringy Hodge numbers
Jim Bryan, Ron Donagi, Naichung Conan Leung
We study the moduli space M(G,A) of flat G-bundles on an Abelian surface A, where G is a compact, simple, simply connected, connected Lie group. Equivalently, M(G,A) is the (coarse…
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds
Jim Bryan, Sheldon Katz, Naichung Conan Leung
We study the contribution of multiple covers of an irreducible rational curve C in a Calabi-Yau threefold Y to the genus 0 Gromov-Witten invariants in the following cases. (1) If t…
Generating functions for the number of curves on Abelian surfaces
Jim Bryan, Naichung Conan Leung
Let X be an Abelian surface and C a holomorphic curve in X representing a primitive homology class. The space of genus g curves in the class of C is g dimensional. We count the num…