Local Index Theory in Lorentzian Geometry
Location: MSRI: Simons Auditorium
I will state the index theorem for twisted Dirac operators on globally hyperbolic spacetimes with compact Cauchy surfaces. These operators are hyperbolic but still Fredholm on appropriate function spaces. I will give a local proof of the index theorem based on a local construction of the Feynman parametrix. (joint work with C. Baer)
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