|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
A
closed ball compactification of a maximal component via cores
of trees
Giuseppe Martone, Charles Ouyang and Andrea Tamburelli |
|
Algebraic & Geometric Topology 24 (2024) 3693–3717
|
 |
Abstract |
|
We show that, in the character variety of surface group representations into the Lie group , the compactification of the maximal component introduced by the second author is a closed ball upon which the mapping class group acts. We study the dynamics of this action. Finally, we describe the boundary points geometrically as –valued mixed structures. |
Keywords
harmonic maps, hyperbolic surfaces, Teichmüller theory,
$\mathbb{R}$–trees, quadratic differentials
|
Mathematical Subject Classification
Primary: 53C43, 57K20
|
References |
Publication
Received: 29 May 2022
Revised: 18 August 2023
Accepted: 22 September 2023
Published: 9 December 2024
|
Authors |
| Giuseppe Martone | |
| Department of Mathematics and
Statistics Sam Houston State University Huntsville, TX United States |
|
| Charles Ouyang | |
| Department of Mathematics Washington University St Louis, MO United States |
|
| Andrea Tamburelli | |
| Department of Mathematics University of Pisa Pisa Italy |
|
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
