Hodge integrals and degenerate contributions
Algebraic Geometry
2009-10-31 v2
Abstract
Degenerate contributions to higher genus Gromov-Witten invariants of Calabi-Yau 3-folds are computed via Hodge integrals. The vanishing of contributions of covers of elliptic curves conjectured by Gopakumar and Vafa is proven. A formula for degree 1 covers for all genus pairs is computed in agreement with M-theoretic calculations of Gopakumar and Vafa. Finally, these results lead to a proof of a formula in the tautological ring of the moduli space of curves previously conjectured by Faber.
Cite
@article{arxiv.math/9811140,
title = {Hodge integrals and degenerate contributions},
author = {R. Pandharipande},
journal= {arXiv preprint arXiv:math/9811140},
year = {2009}
}
Comments
21 pages, LaTeX2e. Expanded discussion of relationships with the M-theoretic calculations of Gopakumar-Vafa. New results for arbitrary 3-folds following a suggestion of Jinzenji and Xiong