Bibliographic Details
| Title: |
A generalized Hirzebruch Riemann–Roch theorem |
| Alternate Title: |
Un théorème de Hirzebruch–Riemann–Roch généralisé |
| Authors: |
Ramadoss, Ajay C.1 ajaycr@math.cornell.edu |
| Source: |
Comptes Rendus. Mathématique. Mar2009, Vol. 347 Issue 5/6, p289-292. 4p. |
| Subjects: |
Riemann-Roch theorems, Homology theory, Hodge theory, Mathematical mappings, Algebraic functions, Algebra |
| Abstract (English): |
Abstract: This short Note proves a generalization of the Hirzebruch Riemann–Roch theorem equivalent to the Cardy condition. This is done using an earlier result that explicitly describes what the Mukai pairing on Hochschild homology descends to in Hodge cohomology via the Hochschild–Kostant–Rosenberg map twisted by the root Todd genus. To cite this article: A.C. Ramadoss, C. R. Acad. Sci. Paris, Ser. I 347 (2009). [Copyright &y& Elsevier] |
| Abstract (French): |
Résumé: Nous montrons dans cette Note une généralisation du théorème de Hirzebruch–Riemann–Roch, équivalente à la condition de Cardy. On s''''appuie pour cela sur un résultat antérieur décrivant l''''accouplement de Mukai sur la cohomologie de Hochschild en termes de la cohomologie de Hodge, via l''''application de Hochschild–Kostant–Rosenberg tordue par le genre de Todd de la base. Pour citer cet article : A.C. Ramadoss, C. R. Acad. Sci. Paris, Ser. I 347 (2009).
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| Database: |
Engineering Source |
