Hodge integrals and tautological classes
on the moduli space of curves
Abstract: By virtue of its universal property, the moduli space of curves carries a collection of algebraic intersection classes, the tautological or Mumford-Morita-Miller classes. It is important to understand the relations between these classes. According to the (conjectural) picture that is emerging, the subalgebras of tautological classes satisfy a form of Poincaré duality.
Hodge integrals are intersection numbers of tautological classes. All these can be recursively computed by the work of Witten and Kontsevich, but this doesn't yield explicit formulas. Recent joint work with R. Pandharipande focuses on obtaining explicit ormulas for certain Hodge integrals via Gromov-Witten theory.
|Web page: Alexandru I. Suciu||Created: March 19, 2000|
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