Localization and gluing of orbifold amplitudes: The Gromov-Witten orbifold vertex

Dustin Ross
2013 Transactions of the American Mathematical Society  
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. Contents
doi:10.1090/s0002-9947-2013-05835-7 fatcat:gpkr4rxrrvdoji2rs2s66vtfbm