COMPARISON OF TWO EQUIVARIANT η-FORMS - Sorbonne Université
Journal Articles Advances in Mathematics Year : 2022

COMPARISON OF TWO EQUIVARIANT η-FORMS

Abstract

In this paper, we first define the equivariant infinitesimal η-form, then we compare it with the equivariant η-form, modulo exact forms, by a locally computable form. As a consequence, we obtain the singular behavior of the equivariant η-form, modulo exact forms, as a function on the acting Lie group. This result extends a result of Goette and it plays an important role in our recent work on the localization of η-invariants and on the differential K-theory.
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Dates and versions

hal-03697409 , version 1 (16-06-2022)

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Bo Liu, Xiaonan Ma. COMPARISON OF TWO EQUIVARIANT η-FORMS. Advances in Mathematics, 2022, 404, Part A, pp.108163. ⟨10.1016/j.aim.2021.108163⟩. ⟨hal-03697409⟩
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