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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
Eta invariant is a very important invariant in global analysis on manifolds. Eta-invariant was defined by Atiyah-Patodi-Singer. Since then, people had done many studies and extensions of it. In this paper, for a locally compact unimodular group acting on a fiber bundle, under some conditions we define eta form on it.
Keywords:eta form, heat kernel, locally compact group