activity
19972026
most citedLocal Gromov-Witten Invariants are Log Invariants

41 citations · 207 across the 17 of their papers we have counts for

collaborators

17 papers

math.SG2026

Mirror Counts of Spectral Curves

Tom Graber, Mingyuan Hu, Eric Zaslow

Given a convex lattice polygon , let be the count of rational, nodal curves in the linear system of the ample line bundle on the toric variety $\m…

math.AG2017★ 41 cited

Local Gromov-Witten Invariants are Log Invariants

Michel van Garrel, Tom Graber, Helge Ruddat

We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent…

math.AG2006★ 3 cited

The Crepant Resolution Conjecture

Jim Bryan, Tom Graber

For orbifolds admitting a crepant resolution and satisfying a hard Lefschetz condition, we formulate a conjectural equivalence between the Gromov-Witten theories of the orbifold an…

math.AG2006★ 21 cited

Gromov-Witten theory of Deligne-Mumford stacks

Dan Abramovich, Tom Graber, Angelo Vistoli

Long ago, in math.AG/0112004, we pledged more details on the algebraic version of Chen-Ruan's math.AG/0103156. This is it.

math.AG2005★ 12 cited

The orbifold quantum cohomology of C^2/Z_3 and Hurwitz-Hodge integrals

Jim Bryan, Tom Graber, Rahul Pandharipande

Let Z_3 act on C^2 by non-trivial opposite characters. Let X =[C^2/Z_3] be the orbifold quotient, and let Y be the unique crepant resolution. We show the equivariant genus 0 Gromov…

math.AG2005

On The Global Quotient Structure of The Space of Twisted Stable Maps to a Quotient Stack

Dan Abramovich, Tom Graber, Martin Olsson +1

Let be a tame proper Deligne-Mumford stack of the form where is a scheme and is an algebraic group. We prove that the stack $\mathcal{K}_{g,n}(\mathca…