The combinatorics of Farey words and their traces
We introduce a family of 3-variable 'Farey polynomials' that are closely connected with the
geometry and topology of 3-manifolds and orbifolds as they can be used to produce …
geometry and topology of 3-manifolds and orbifolds as they can be used to produce …
Two-parabolic-generator subgroups of hyperbolic -manifold groups
S Sakai, M Sakuma - Hiroshima Mathematical Journal, 2024 - projecteuclid.org
We give a detailed account of Agol's theorem and his proof concerning two-meridional-
generator subgroups of hyperbolic 2-bridge link groups, which is included in the slide of his …
generator subgroups of hyperbolic 2-bridge link groups, which is included in the slide of his …
The moduli space of the modular group in three-dimensional complex hyperbolic geometry
J Ma - arXiv preprint arXiv:2306.15127, 2023 - arxiv.org
We study the moduli space of discrete, faithful, type-preserving representations of the
modular group $\mathbf {PSL}(2,\mathbb {Z}) $ into $\mathbf {PU}(3, 1) $. The entire moduli …
modular group $\mathbf {PSL}(2,\mathbb {Z}) $ into $\mathbf {PU}(3, 1) $. The entire moduli …
On Thin Heckoid and Generalised Triangle Groups in
We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in
$ PSL (2,\mathbb {C}) $. Here we give a complete list of the $55 $ thin generalised triangle …
$ PSL (2,\mathbb {C}) $. Here we give a complete list of the $55 $ thin generalised triangle …
The -arithmetic hyperbolic lattices, , in three dimensions
GJ Martin, K Salehi, Y Yamashita - arXiv preprint arXiv:2206.14174, 2022 - arxiv.org
We identify the finitely many arithmetic lattices $\Gamma $ in the orientation preserving
isometry group of hyperbolic $3 $-space $\mathbb {H}^ 3$ generated by an element of order …
isometry group of hyperbolic $3 $-space $\mathbb {H}^ 3$ generated by an element of order …
The (5, p)-arithmetic hyperbolic lattices in three dimensions: a dissertation in Mathematics, presented to the Massey University in partial fulfillment of the requirements …
K Salehi - 2024 - mro.massey.ac.nz
Abstract The group $ Isom^+(\mathbb {H}^ 3)\cong PSL (2,\mathbb {C}) $ contains an
unlimited number of lattices of orientation-preserving isometries of hyperbolic 3-space …
unlimited number of lattices of orientation-preserving isometries of hyperbolic 3-space …
[PDF][PDF] The (4, p)-arithmetic hyperbolic lattices, p≥ 2, in three dimensions.
GJ Martin, K Salehi, Y Yamashita - arXiv preprint arXiv:2206.14174, 2022 - academia.edu
The (4,p)-arithmetic hyperbolic lattices, p ≥ 2, in three dimensions. arXiv:2206.14174v1 [math.GT]
28 Jun 2022 Page 1 The (4,p)-arithmetic hyperbolic lattices, p ≥ 2, in three dimensions. GJ …
28 Jun 2022 Page 1 The (4,p)-arithmetic hyperbolic lattices, p ≥ 2, in three dimensions. GJ …