# Geometry and Arithmetic

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#### DOI: 10.4171/119-1/18

A remark on Getzler’s semi-classical approximation

Dan Petersen

Ezra Getzler notes in the proof of the main theorem of [3] that “A proof of the theorem could no doubt be given using [a combinatorial interpretation in terms of a sum over necklaces]; however, we prefer to derive it directly from Theorem 2.2”. In this note we give such a direct combinatorial proof using wreath product symmetric functions.

Keywords: Modular operads, graphical enumeration, tensor species