Smooth parametrized torsion -- a manifold approach

TL;DR

This paper introduces a new torsion invariant for bundles of smooth manifolds, leveraging the framework of smooth structures on fibrations to enhance understanding of manifold bundles.

Contribution

It presents a novel construction of a torsion invariant for smooth manifold bundles based on the work of Dwyer, Weiss, and Williams.

Findings

Constructs a new torsion invariant for smooth manifold bundles

Utilizes the framework of smooth structures on fibrations

Provides a foundation for further studies in smooth manifold invariants

Abstract

We give a construction of a torsion invariant of bundles of smooth manifolds which is based on the work of Dwyer, Weiss and Williams on smooth structures on fibrations.