14 citations · 15 across the 2 of their papers we have counts for
8 papers · 1 filter
Hurwitz-Hodge Integrals, the E6 and D4 root systems, and the Crepant Resolution Conjecture
Jim Bryan, Amin Gholampour
Let G be the group A_4 or Z_2xZ_2. We compute the integral of λ_g on the Hurwitz locus H_G\subset M_g of curves admitting a degree 4 cover of P^1 having monodromy group G. We compu…
Root Systems and the Quantum Cohomology of ADE resolutions
Jim Bryan, Amin Gholampour
We compute the C*-equivariant quantum cohomology ring of Y, the minimal resolution of the DuVal singularity C^2/G where G is a finite subgroup of SU(2). The quantum product is expr…
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…