Advances in Theoretical and Mathematical Physics
Volume 11 (2007)
A definition of descendants at one point in graph calculus
Pages: 351 – 370
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.