Renormalised Chern–Weil forms associated with families of Dirac operators |
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| Authors: | Jouko Mickelsson Sylvie Paycha |
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| Affiliation: | 1. University of Helsinki, Department of Mathematics and Statistics, P.O. Box 68, FI-00014 Helsinki, Finland;2. Department of Theoretical Physics, Royal Institute of Technology, SE-106 91, Stockholm, Sweden;3. Laboratoire de Mathematiques, Complexe des Cezeaux, 63177 Aubiere, Cedex, France |
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| Abstract: | We provide local expressions for Chern–Weil type forms built from superconnections associated with families of Dirac operators previously investigated in [S. Scott, Zeta–Chern forms and the local family index theorem, Trans. Amer. Math. Soc. (in press). arXiv: math.DG/0406294] and later in [S. Paycha, S. Scott, Chern–Weil forms associated with superconnections, in: B. Booss-Bavnbeck, S. Klimek, M. Lesch, W. Zhang (Eds.), Analysis, Geometry and Topology of Elliptic Operators, World Scientific, 2006]. |
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| Keywords: | 53Z05 58J40 58J28 81T13 81T50 |
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