On dynamical Teichmuller spaces

TL;DR

This paper explores the relationships between dynamical Teichmuller spaces and various dynamical objects, establishing connections with deformation theory of inverse limits and laminations in holomorphic dynamics.

Contribution

It introduces new links between dynamical Teichmuller spaces and holomorphic dynamical systems, expanding understanding of their deformation and lamination structures.

Findings

Established connections between dynamical Teichmuller spaces and inverse limit deformations.

Linked Teichmuller spaces with laminations in holomorphic dynamics.

Provided new insights into the structure of dynamical systems via Teichmuller theory.

Abstract

Following ideas from a preprint of the second author, see [2], we investigate relations of dynamical Teichmuller spaces with dynamical objects. We also establish some connections with the theory of deformations of inverse limits and laminations in holomorphic dynamics, see [1]