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Article Dans Une Revue Inventiones Mathematicae Année : 2020

DIFFERENTIAL K-THEORY AND LOCALIZATION FORMULA FOR η-INVARIANTS

Résumé

In this paper we obtain a localization formula in differential K-theory for S 1-actions. We establish a localization formula for equivariant η-invariants by combining this result with our extension of Goette's result on the comparison of two types of equivariant η-invariants. An important step in our approach is to construct a pre-λ-ring structure in differential K-theory.
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Dates et versions

hal-02997949 , version 1 (10-11-2020)

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Bo Liu, Xiaonan Ma. DIFFERENTIAL K-THEORY AND LOCALIZATION FORMULA FOR η-INVARIANTS. Inventiones Mathematicae, 2020, 222 (2), pp.545-613. ⟨10.1007/s00222-020-00973-8⟩. ⟨hal-02997949⟩
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