A path integral derivation of χy-genus
Guowu Meng
Abstract
The formula for the Hirzebruch χy-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 direct derivation of this nice formula based on supersymmetric quantum mechanics.
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