Torsion and symplectic volume in Seifert manifolds

TL;DR

This paper explores the relationship between Reidemeister density and Liouville measure in the context of moduli spaces of representations for Seifert manifolds, linking topological and symplectic invariants.

Contribution

It establishes a connection between Reidemeister density and symplectic volume in the moduli spaces associated with Seifert manifolds.

Findings

Reidemeister density relates to Liouville measure in these moduli spaces

The work applies to oriented Seifert manifolds and compact Lie groups with finite center

Provides a new perspective on the interplay between topology and symplectic geometry in 3-manifolds

Abstract

For any oriented Seifert manifold X and compact connected Lie group G with finite center, we relate the Reidemeister density of the moduli space of representations of the fundamental group of X into G to the Liouville measure of some moduli spaces of representations of surface groups into G.