The orbifold quantum cohomology of and Hurwitz-Hodge integrals

Authors:
Jim Bryan, Tom Graber and Rahul Pandharipande

Journal:
J. Algebraic Geom. **17** (2008), 1-28

Published electronically:
July 9, 2007

MathSciNet review:
2357679

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Abstract | References | Additional Information

Abstract: Let act on by non-trivial opposite characters. Let be the orbifold quotient, and let be the unique crepant resolution. We show that the equivariant genus 0 Gromov-Witten potentials and are equal after a change of variables--verifying the Crepant Resolution Conjecture for the pair . 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.

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Additional Information

**Jim Bryan**

Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z4 Canada

Email:
jbryan@math.ubc.ca

**Tom Graber**

Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, California 91125

Email:
graber@caltech.edu

**Rahul Pandharipande**

Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000

Email:
rahulp@math.princeton.edu

DOI:
https://doi.org/10.1090/S1056-3911-07-00467-5

Received by editor(s):
November 30, 2005

Published electronically:
July 9, 2007