Vortrag von Anja Fuchshuber (Freiburg)
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Eta-forms of families of manifolds
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Feb 14, 2013 from 10:15 AM to 11:15 AM |
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In index theory of families of closed manifolds the exterior differential of the eta-form describes the difference between the analytic and the topological index of a Dirac operator. Under the assumption that the horizontal distribution is integrable the question in my diploma thesis is if the eta-form is closed and defines a cohomology class in de Rham cohomology. At the end I'll look at the special case of a bundle of tori.
Summer School "Geometric, Algebraic and Combinatorial Methods in Modular Representation Theory", July 23-27, 2018