paper

A definition of descendants at one point in graph calculus

arXiv:math/0507106 · doi:10.4310/ATMP.2007.v11.n3.a1

Abstract

We study the genus expansion of Barannikov-Kontsevich solutions of the WDVV equation. In terms of the related graph calculus we give a definition of descendants at one point and prove that this definition satisfies the topological recursion relations in genera 0, 1, and 2, string and dilaton equations, and the pull-back formula.

arXiv comment18 pages