A path integral derivation of χy-genus
نویسندگان
چکیده
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. PACS numbers: 12.60.Jv, 02.40.Ma Mathematics Subject Classification: Primary: 19K56, Secondary: 81S40
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تاریخ انتشار 2003