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| ETA INVARIANTS, DIFFERENTIAL CHARACTERSAND FLAT VECTOR BUNDLES |
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Citation： |
J. M. BISMUT.ETA INVARIANTS, DIFFERENTIAL CHARACTERSAND FLAT VECTOR BUNDLES[J].Chinese Annals of Mathematics B,2005,26(1):15~44 |
| Page view： 1523
Net amount： 825 |
Authors： |
J. M. BISMUT; |
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| Abstract： |
The purpose of this paper is to give a refinement of the
Atiyah-Singer families index theorem at the level of differential
characters. Also a Riemann-Roch-Grothendieck theorem for the
direct image of flat vector bundles by proper submersions is
proved, with Chern classes with coefficients in
$C/Q$. These results are much related to prior work
of Gillet-Soule, Bismut-Lott and Lott. |
Keywords： |
Characteristic classes and numbers, Index theory and related fixed point
theorems, Heat and other parabolic equation methods |
Classification： |
57R20, 58J20, 58J35 |
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