Contents Online

# Advances in Theoretical and Mathematical Physics

## Volume 11 (2007)

### Number 3

### A definition of descendants at one point in graph calculus

Pages: 351 – 370

DOI: http://dx.doi.org/10.4310/ATMP.2007.v11.n3.a1

#### Author

#### 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.