A complex hyperbolic Riley slice

Autor: Pierre Will, John R. Parker

Publikováno v: Geometry and Topology
Geometry and Topology, Mathematical Sciences Publishers, 2017, 21 (6), pp.3391-3451. ⟨10.2140/gt.2017.21.3391⟩
Geom. Topol. 21, no. 6 (2017), 3391-3451

We study subgroups of ${\rm PU}(2,1)$ generated by two non-commuting unipotent maps $A$ and $B$ whose product $AB$ is also unipotent. We call $\mathcal{U}$ the set of conjugacy classes of such groups. We provide a set of coordinates on $\mathcal{U}$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::636715d32d0258ae7b8e9ad5ad44d15e
https://hal.archives-ouvertes.fr/hal-01613535

Complex hyperbolic geometry of the figure eight knot

Autor: Elisha Falbel, Martin Deraux

Publikováno v: Geometry and Topology
Geometry and Topology, Mathematical Sciences Publishers, 2015, 19, pp.237-293. ⟨10.2140/gt.2015.19.237⟩
Geometry and Topology, 2015, 19, pp.237-293. ⟨10.2140/gt.2015.19.237⟩
Geom. Topol. 19, no. 1 (2015), 237-293

International audience; We show that the figure eight knot complement admits a uniformizable spherical CR structure, i.e. it occurs as the manifold at infinity of a complex hyperbolic orbifold. The uniformization is unique provided we require the per

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d53105faadcc9c6576653622738d794
https://hal.archives-ouvertes.fr/hal-00805427v2/document

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