arXiv subjects

C. J. Leininger

Publications and source records attributed to C. J. Leininger.

2 recordsLinked to original sources

arXiv2009

Commensurators of non-free finitely generated Kleinian groups

Suppose G is a non-free finitely generated Kleinian group without parabolics which is not a lattice and let C(G) denote the commensurator in PSL(2,C). We prove that if the limit set of G is not a round circle, then C(G) is discrete. Furthermore, G has finite index in C(G) unless G is a fiber group in which case C(G) is a lattice.

math.GT↗

arXiv2000

Compressing totally geodesic surfaces

In this paper we prove that one can find surgeries arbitrarily close to infinity in the Dehn surgery space of the figure eight knot complement for which some immersed totally geodesic surface compresses.

math.GT↗