Locally homogeneous geometric manifolds

WM Goldman - Proceedings of the International Congress of …, 2010 - World Scientific
Abstract Motivated by Felix Klein's notion that geometry is governed by its group of symmetry
transformations, Charles Ehresmann initiated the study of geometric structures on …

A note on the squarefree density of polynomials

RC Vaughan, YG Zarhin - Mathematika, 2024 - Wiley Online Library
The conjectured squarefree density of an integral polynomial PP in ss variables is an Euler
product SP S_P which can be considered as a product of local densities. We show that a …

Quotients of the holomorphic 2-ball and the turnover

HC Botós, CH Grossi - arXiv preprint arXiv:2109.08753, 2021 - arxiv.org
We construct two-dimensional families of complex hyperbolic structures on disc orbibundles
over the sphere with three cone points. This contrasts with the previously known examples of …

Complex hyperbolic quasi-Fuchsian groups

JR Parker, ID Platis - Geometry of Riemann surfaces, 2010 - books.google.com
A complex hyperbolic quasi-Fuchsian group is a discrete, faithful, typepreserving and
geometrically finite representation of a surface group as a subgroup of the group of …

[PDF][PDF] Two-generator groups acting on the complex hyperbolic plane

P Will - Handbook of Teichmüller theory, 2016 - www-fourier.univ-grenoble-alpes.fr
Two-generator groups acting on the complex hyperbolic plane Page 1 Two-generator groups
acting on the complex hyperbolic plane Pierre Will∗ Institut Fourier, Université Joseph Fourier …

Bending Fuschsian representations of fundamental groups of cusped surfaces in

P Will - Journal of Differential Geometry, 2012 - projecteuclid.org
We describe a new family of representations of $\pi_1 (\Sigma) $ in $\mathrm {PU}(2, 1) $,
where $\Sigma $ is a hyperbolic Riemann surface with at least one deleted point. This family …

A non-trivial family of trivial bundles with complex hyperbolic structure

HC Botós, FA Franco - arXiv preprint arXiv:2411.02213, 2024 - arxiv.org
In $\mathrm {PU}(2, 1) $, the group of holomorphic isometries of the complex hyperbolic
plane, we study the space of involutions $ R_1, R_2, R_3, R_4, R_5 $ satisfying …

On the interplay between discrete invariants of complex hyperbolic disc bundles over surfaces

HC Botós - arXiv preprint arXiv:2308.04204, 2023 - arxiv.org
We investigate the relationship between three natural invariants of complex hyperbolic disc
orbibundles over oriented and closed hyperbolic $2 $-orbifolds. These invariants are the …

[PDF][PDF] Two Generator groups acting on the complex hyperbolic plane

P Will - arXiv preprint arXiv:1510.01500, 2015 - arxiv.org
arXiv:1510.01500v1 [math.GT] 6 Oct 2015 Page 1 arXiv:1510.01500v1 [math.GT] 6 Oct 2015
Two-generator groups acting on the complex hyperbolic plane Pierre Will∗ Institut Fourier …

Special Elliptic Isometries, Relative -Character Varieties, and Bendings

FA Franco, CH Grossi - The Journal of Geometric Analysis, 2021 - Springer
We study relations between special elliptic isometries in the complex hyperbolic plane.
Relations of lengths 2, 3, and 4 are fully classified. Some relative SU (2, 1) SU (2, 1) …