Polynomial Global Product Structure
Andy Hammerlindl
TL;DR
This paper establishes that Anosov diffeomorphisms are topologically conjugate to infranilmanifold automorphisms precisely when they exhibit polynomial Global Product Structure, linking geometric properties to topological conjugacy.
Contribution
It introduces the concept of polynomial Global Product Structure as a key criterion for conjugacy to infranilmanifold automorphisms in Anosov diffeomorphisms.
Findings
Polynomial Global Product Structure characterizes conjugacy to infranilmanifold automorphisms.
Provides a new geometric criterion for classifying Anosov diffeomorphisms.
Bridges topological conjugacy with geometric structure in dynamical systems.
Abstract
An Anosov diffeomorphism is topologically conjugate to an infranilmanifold automorphism if and only if it has polynomial Global Product Structure.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology