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| Title: | A path integral derivation of χy-genus |
| Authors: | Meng, Guo-Wu |
| Keywords: | Index theory Path integral Supersymmetric models |
| Issue Date: | 31-Jan-2003 |
| Citation: | Journal of physics. A, Mathematical and general, v. 36, 2003, p. 1083-1086 |
| 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. |
| Rights: | Journal of Physics A: Mathematical and General © Copyright (2003) IOP Publishing Ltd. The Journal's web site is located at http://www.iop.org/EJ/journal/JPhysA |
| URI: | http://hdl.handle.net/1783.1/1299 |
| Appears in Collections: | MATH Journal/Magazine Articles
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