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Brief communications

Topological Recursion Relation for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$

I. I. Shneiberg

M. V. Lomonosov Moscow State University

Abstract: We give the definition of the full potential with descendants, which is a genus expansion of the Barannikov–Kontsevich solution of the WDVV equation. This potential satisfies the Getzler relation, which comes from the geometry of the moduli space of curves $\overline{\mathcal{M}}_{2,2}$.

Keywords: WDVV equation, tautological relations.

UDC: 512.772.5

Received: 17.09.2006

DOI: 10.4213/faa2896

 English version: Functional Analysis and Its Applications, 2008, 42:1, 78–80

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