Secondary analytic indices

TL;DR

This paper introduces new analytic indices involving eta and torsion forms, demonstrating their topological invariance despite dependence on geometric choices.

Contribution

It defines novel analytic indices that incorporate eta and torsion forms and proves their independence from geometric choices, establishing their topological significance.

Findings

Indices are independent of geometric choices

Indices are topological invariants

Involves eta form and analytic torsion form

Abstract

We define analytic indices which involve the eta form and the analytic torsion form. We show that these indices are independent of the geometric choices made in their definitions, and hence are topological in nature.