Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Professor Pavel Tumarkin pavel.tumarkin@durham.ac.uk
Professor
We construct finite volume hyperbolic manifolds with large symmetry groups. The construction makes use of the presentations of finite Coxeter groups provided by Barot and Marsh, and involves mutations of quivers and diagrams defined in the theory of cluster algebras. We generalize our construction by assigning to every quiver or diagram of finite or affine type a CW-complex with a proper action of a finite (or affine) Coxeter group. These CW-complexes undergo mutations agreeing with mutations of quivers and diagrams. We also generalize the construction to quivers and diagrams originating from unpunctured surfaces and orbifolds.
Journal Article Type | Article |
---|---|
Acceptance Date | Apr 4, 2016 |
Online Publication Date | May 24, 2016 |
Publication Date | Aug 1, 2016 |
Deposit Date | Sep 4, 2015 |
Publicly Available Date | Apr 5, 2016 |
Journal | Journal of the London Mathematical Society |
Print ISSN | 0024-6107 |
Electronic ISSN | 1469-7750 |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 94 |
Issue | 1 |
Pages | 38-60 |
DOI | https://doi.org/10.1112/jlms/jdw023 |
Public URL | https://durham-repository.worktribe.com/output/1403309 |
Related Public URLs | http://arxiv.org/abs/1409.3427 |
Accepted Journal Article
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Copyright Statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in the Journal of the London Mathematical Society following peer review. The version of record is available online at: http://dx.doi.org/10.1112/jlms/jdw023
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