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The semi-classical approximation for modular operads

Ezra Getzler
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Abstract

The semi-classical approximation is an explicit formula of mathematical physics for the sum of Feynman diagrams with a single circuit.In this paper, we study the same problem in the setting of modular operads (see dg-ga/9408003); instead of being a number, the interaction at a vertex of valence n is an S_n-module. As an application, we calculate the S_n-equivariant Hodge polynomials of the moduli spaces \Mbar_{1,n}.

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Ezra Getzler. 1996-12-06. The semi-classical approximation for modular operads. https://arxiv.org/abs/alg-geom/9612005

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