Localization and Gluing of Orbifold Amplitudes: The Gromov-Witten   Orbifold Vertex
  We define a formalism for computing open orbifold GW invariants of [C^3/G] where G is any finite abelian group. We prove that this formalism and a suitable gluing algorithm can be used to compute GW invariants in all genera of any toric CY orbifold of dimension 3. We conjecture a correspondence with the DT orbifold vertex of Bryan-Cadman-Young. 
Dustin Ross
math.AG math-ph math.MP