Volterra calculus, local equivariant family index theorem and equivariant eta forms

2013/04/27 by Yong Wang, Wang, Yong · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1304.7354

openalex publication_date 2013/04/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we give proofs of the family index formula and the equivariant family index formula by the Greiner's approach to heat kernel asymptotics. We compute equivariant family JLO characters. We also define the equivariant eta form and give a proof of its regularity.

Citations

• Noncommutative geometry, conformal geometry, and the local equivariant index theorem

Cited by

• The noncommutative family Atiyah-Patodi-Singer index theorem

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