The $\eta$-Invariant as a Lagrangian of a Topological Quantum Field Theory

TL;DR

This paper explores how the eta invariant of Dirac operators influences the structure of topological quantum field theories, focusing on its behavior under boundary modifications and gluing procedures.

Contribution

It introduces new insights into the functorial properties of the eta invariant in the context of topological quantum field theories.

Findings

Eta invariant's behavior under boundary condition changes

Functorial consequences of gluing in TQFTs

Implications for Dirac operators in topological settings

Abstract

We dicuss functorial consequences of way the eta invariant of Dirac operators behaves under gluing and change of boundary conditions.