Gromov - Witten theory of A n - resolutions
نویسنده
چکیده
We give a complete solution for the reduced Gromov-Witten theory of resolved surface singularities of type An, for any genus, with arbitrary descendent insertions. We also present a partial evaluation of the T -equivariant relative Gromov-Witten theory of the threefold An × P 1 which, under a nondegeneracy hypothesis, yields a complete solution for the theory. The results given here allow comparison of this theory with the quantum cohomology of the Hilbert scheme of points on the An surfaces. We discuss generalizations to linear Hodge insertions and to surface resolutions of type D,E. As a corollary, we present a new derivation of the stationary Gromov-Witten theory of P1.
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