Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777819 | Topology and its Applications | 2017 | 15 Pages |
Abstract
The fundamental group of every surface that is not the projective plane or Klein bottle has a representation to a torsion-free group of upper-triangular matrices in SL2(R) with no simple loop (i.e. a nontrivial element representing a simple closed curve) in the kernel.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Jason DeBlois, Daniel Gomez,