Hodge integrals and degenerate contributions

Details Hodge integrals and degenerate contributions Hodge integrals and degenerate contributions

1998-11-24

arxiv.org/abs/math/9811140v2

Mathematics

Algebraic Geometry

21 pages, LaTeX2e. Expanded discussion of relationships with the M-theoretic calculations of Gopakumar-Vafa. New results for a

Scientific paper

10.1007/s002200050766

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.

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