On a secondary invariant of the hyperelliptic mapping class group

TL;DR

This paper explores relationships among various 3-manifold invariants, such as Meyer's function, eta-invariant, von Neumann rho-invariant, and Casson invariant, through the lens of the hyperelliptic mapping class group.

Contribution

It introduces a new perspective linking these invariants via the hyperelliptic mapping class group, revealing underlying connections among them.

Findings

Identifies relations among key 3-manifold invariants.

Provides a unified framework for understanding these invariants.

Highlights the role of the hyperelliptic mapping class group in these relations.

Abstract

In this paper, we discuss relations among several invariants of 3-manifolds including Meyer's function, the eta-invariant, the von Neumann rho-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.