# A remark on Getzler’s semi-classical approximation

### Dan Petersen

Royal Institute of Technology, Stockholm, Sweden

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## Abstract

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.