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4 papers
The enumeration of edge colorings and Hamiltonian cycles by means of symmetric tensors
Peter Zograf
Following Penrose, we introduce a family of graph functions defined in terms of contractions of certain products of symmetric tensors along the edges of a graph. Special cases of t…
Hyperbolic 2-spheres with conical singularities, accessory parameters and Kaehler metrics on
Leon Takhtajan, Peter Zograf
We show that the real-valued function on the moduli space of pointed rational curves, defined as the critical value of the Liouville action functional on…
Invertible Cohomological Field Theories and Weil-Petersson volumes
Yu. I. Manin, P. Zograf
We show that the generating function for the higher Weil-Petersson volumes of the moduli spaces of stable curves with marked points can be obtained from Witten's free energy by a c…
Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity
Peter Zograf
A formula for the generating function of the Weil-Petersson volumes of moduli spaces of pointed curves that is identical to the genus expansion of the free energy in two dimensiona…