Minimal Volume Entropy of RAAG's
Matthew Haulmark, Kevin Schreve
TL;DR
This paper extends the characterization of right-angled Artin groups with vanishing minimal volume entropy from dimension 2 to higher dimensions, broadening the understanding of their geometric properties.
Contribution
It generalizes previous results by Bregman and Clay, providing a comprehensive classification of higher-dimensional right-angled Artin groups with zero minimal volume entropy.
Findings
Extended the characterization to higher dimensions.
Identified conditions for vanishing minimal volume entropy in higher-dimensional RAAGs.
Enhanced understanding of the geometric complexity of RAAGs.
Abstract
Bregman and Clay recently characterized which right-angled Artin groups with geometric dimension 2 have vanishing minimal volume entropy. In this note, we extend this characterization to higher dimensions.
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.
Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds