Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)

Details Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier) Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)

2000-02-14

arxiv.org/abs/math/0002112v3

Mathematics

Algebraic Geometry

Minor changes. 26 pages, LaTeX2e. Appendix by D. Zagier: 12 pages, AmSTeX 2.1

Scientific paper

We describe a new perspective on the intersection theory of the moduli space of curves involving both Virasoro constraints and Gorenstein conditions. The main result of the paper is the computation of a basic 1-point Hodge integral series occurring in the tautological ring of the moduli space of nonsingular curves. In the appendix by D. Zagier, "Polynomials arising from the tautological ring", a detailed study is made of certain polynomials whose coefficients are intersection numbers on moduli space. The paper and the appendix together provide proofs of all previously conjectured formulas for 1-point integrals in the tautological ring, and of natural extensions of these formulas as well.

Affiliated with

Also associated with

No associations

Rating

Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612954