Certifying incompressibility of non-injective surfaces with scl

Details Certifying incompressibility of non-injective surfaces with scl Certifying incompressibility of non-injective surfaces with scl

2011-12-08

arxiv.org/abs/1112.1791v1

Mathematics

Group Theory

4 pages

Scientific paper

Cooper-Manning and Louder gave examples of maps of surface groups to PSL(2,C)
which are not injective, but are incompressible (i.e. no simple loop is in the
kernel). We construct more examples with very simple certificates for their
incompressibility arising from the theory of stable commutator length.

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