Involutions of 3-dimensional handlebodies
Andrea Pantaleoni, Riccardo Piergallini
TL;DR
This paper classifies all orientation-preserving involutions of orientable 3D handlebodies based on their fixed points, providing a comprehensive understanding of their symmetries.
Contribution
It offers a complete classification of involutions on handlebodies, detailing their fixed point structures, which was not previously fully understood.
Findings
Classification of involutions for all genera
Description of fixed point sets for each involution
Framework for understanding symmetries of handlebodies
Abstract
We study the orientation preserving involutions of the orientable 3-dimensional handlebody , for any genus . A complete classification of such involutions is given in terms of their fixed points.
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Taxonomy
TopicsGeometric and Algebraic Topology · Computational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques