Examples of expanding endomorphisms on fake tori
F. Thomas Farrell, Andrey Gogolev
TL;DR
This paper constructs examples of expanding endomorphisms on smooth manifolds that are topologically tori but possess unusual PL-structures, illustrating new phenomena in dynamical systems on exotic manifolds.
Contribution
It provides the first known examples of expanding endomorphisms on manifolds homeomorphic but not PL-equivalent to standard tori.
Findings
Existence of expanding endomorphisms on exotic tori
Construction methods for such endomorphisms
Implications for dynamical systems on exotic manifolds
Abstract
We construct expanding endomorphisms on smooth manifolds that are homeomorphic to tori yet have exotic underlying PL-structures.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.