Guowu Meng 2003 J. Phys. A: Math. Gen. 36 1083 doi:10.1088/0305-4470/36/4/315
Guowu Meng
Show affiliationsThe 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.
Issue 4 (31 January 2003)
Received 28 August 2002
Published 15 January 2003
Guowu Meng 2003 J. Phys. A: Math. Gen. 36 1083
F Acernese et al 2006 Class. Quantum Grav. 23 S63
Chia-Yen Lee et al 2005 J. Micromech. Microeng. 15 1215
J Dutton and D B Rees 1967 Br. J. Appl. Phys. 18 309
L O Vilarinho and C Fanara 2004 Meas. Sci. Technol. 15 67
Arbab I Arbab 2003 Class. Quantum Grav. 20 93
Andy Adler 2004 Physiol. Meas. 25 227
Winfried Michaelis et al 2004 Metrologia 41 L29
Jorge Llacer et al 2003 Phys. Med. Biol. 48 183
D L Livesey and C L Smith 1953 Proc. Phys. Soc. A 66 689