A definition of descendants at one point in graph calculus

Mathematics – Quantum Algebra

Scientific paper

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18 pages

Scientific paper

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.

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