Incompressible solvable representations of surface groups

作者：DeBlois Jason^*; Gomez Daniel

来源：Topology and Its Applications, 2017, 229: 200-212.

DOI：10.1016/j.topol.2017.07.009

• Simple loop conjecture
• Surface group
• Representation space

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.

• 出版日期2017-9-15