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A path integral derivation of $χ_y$-genus

Guowu Meng
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Abstract

The formula for the Hirzebruch $χ_y$-genus of complex manifolds is a consequence of the Hirzebruch-Riemann-Roch formula. The classical index formulae for Todd genus, Euler number, and Signature correspond to the case when the complex variable $y=$ 0, -1, and 1 respectively. Here we give a {\it direct} derivation of this nice formula based on supersymmetric quantum mechanics.

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Guowu Meng. 2003-06-13. A path integral derivation of $χ_y$-genus. https://doi.org/10.1088/0305-4470%2F36%2F4%2F315

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