Spin-manifolds and elliptic genera
نویسندگان
چکیده
We present an extension of the “miraculous cancellation” formulas of Alvarez-Gaumé, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. Relations to the Ochanine congruence formula on 8k + 4 dimensional Spinc manifolds are discussed. To cite this article: F. Han, W. Zhang, C. R. Acad. Sci. Paris, Ser. I 336 (2003). 2003 Académie des sciences. Published by Éditions scientifiques et médicales Elsevier SAS. All rights reserved. Résumé Variétés Spinc et genre elliptique. Nous présentons une extension de formules d’annulation d’Alvarez-Gaumé, Witten et Liu lorsqu’on tensorise les fibrés considérés par un fibré en droites complexe. On discute le lien entre nos formules et les formules de congruence d’Ochanine pour les variétés Spinc de dimension 8k + 4. Pour citer cet article : F. Han, W. Zhang, C. R. Acad. Sci. Paris, Ser. I 336 (2003). 2003 Académie des sciences. Published by Éditions scientifiques et médicales Elsevier SAS. All rights reserved.
منابع مشابه
Modular Invariance and Twisted Cancellations of Characteristic Numbers
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