The Orbifold Quantum Cohomology of C/z3 and Hurwitz-hodge Integrals
نویسنده
چکیده
Let Z3 act on C 2 by non-trivial opposite characters. Let X = [C/Z3] be the orbifold quotient, and let Y be the unique crepant resolution. We show the equivariant genus 0 Gromov-Witten potentials FX and F Y are equal after a change of variables — verifying the Crepant Resolution Conjecture for the pair (X , Y ). Our computations involve Hodge integrals on trigonal Hurwitz spaces which are of independent interest. In a self contained Appendix, we derive closed formulas for these Hurwitz-Hodge integrals.
منابع مشابه
The Orbifold Quantum Cohomology of C/z3 and Hurwitz-hodge Integrals
Let Z3 act on C by non-trivial opposite characters. Let X = [C/Z3] be the orbifold quotient, and let Y be the unique crepant resolution. We show the equivariant genus 0 Gromov-Witten potentials FX and F are equal after a change of variables — verifying the Crepant Resolution Conjecture for the pair (X , Y ). Our computations involve Hodge integrals on trigonal Hurwitz spaces which are of indepe...
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