Descendent integrals and tautological rings of moduli spaces of curves

Mathematics – Algebraic Geometry

Scientific paper

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31 pages, to appear in proceedings of the conference "Geometric analysis: Present and Future" held at Harvard in August 27-Sep

Scientific paper

The main objective of this paper is to give a summary of our recent work on
recursion formulae for intersection numbers on moduli spaces of curves and
their applications. We also present a conjectural relation between tautological
rings and the mock theta function.

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