2017Journal of Noncommutative GeometryOpen access

Functoriality of equivariant eta forms

Bo Liu

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Abstract

In this paper, we define the equivariant eta form of Bismut–Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions, which is motivated by constructing the geometric model of equivariant differential K-theory.

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What this paper is about

In this paper, we define the equivariant eta form of Bismut–Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions, which is motivated by constructing the geometric model of equivariant differential K-theory.

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Available abstract

In this paper, we define the equivariant eta form of Bismut–Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions, which is motivated by constructing the geometric model of equivariant differential K-theory.

Key concepts: Equivariant map, Mathematics, Pure mathematics, Lie group, Differential (mechanical device), Algebra over a field, Aerospace engineering, Engineering

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