Right-angled polyhedra and hyperbolic 3-manifolds

AY Vesnin - Russian Mathematical Surveys, 2017 - iopscience.iop.org
Hyperbolic 3-manifolds whose fundamental groups are subgroups of finite index in right-
angled Coxeter groups are under consideration. The construction of such manifolds is …

Прямоугольные многогранники и трехмерные гиперболические многообразия

АЮ Веснин - Успехи математических наук, 2017 - mathnet.ru
Как известно [1; гл. 1, § 2], в 1890 г. Ф. Клейн, вдохновленный некоторыми примерами
УК Клиффорда, поставил проблему описания всех связных компактных римановых …

Minimal triangulations for an infinite family of lens spaces

W Jaco, H Rubinstein, S Tillmann - Journal of Topology, 2009 - Wiley Online Library
The notion of a layered triangulation of a lens space was defined by Jaco and Rubinstein,
and unless the lens space is L (3, 1), a layered triangulation with the minimal number of …

Turk's head knots and links: a survey

A Di Prisa, O Şavk - arXiv preprint arXiv:2409.20106, 2024 - arxiv.org
We collect and discuss various results on an important family of knots and links called Turk's
head knots and links $ Th (p, q) $. In the mathematical literature, they also appear under …

Complexity of 3-manifolds obtained by Dehn filling

W Jaco, JH Rubinstein, J Spreer, S Tillmann - arXiv preprint arXiv …, 2022 - arxiv.org
Let $ M $ be a compact 3--manifold with boundary a single torus. We present upper and
lower complexity bounds for closed 3--manifolds obtained as even Dehn fillings of $ M. $ As …

Two-sided bounds for the complexity of cyclic branched coverings of two-bridge links

C Petronio, A Vesnin - 2009 - projecteuclid.org
We consider closed orientable 3-dimensional hyperbolic manifolds which are cyclic
branched coverings of the 3-sphere, with branching set being a two-bridge knot (or link). We …

The triangulation complexity of fibred 3-manifolds

M Lackenby, JS Purcell - arXiv preprint arXiv:1910.10914, 2019 - arxiv.org
The triangulation complexity of a closed orientable 3-manifold is the minimal number of
tetrahedra in any triangulation of the manifold. The main theorem of the paper gives upper …

-Thurston norm and complexity of 3-manifolds

W Jaco, JH Rubinstein, S Tillmann - Mathematische Annalen, 2013 - Springer
$$\mathbb Z _2$$ -Thurston norm and complexity of 3-manifolds | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

The triangulation complexity of elliptic and sol 3-manifolds

M Lackenby, JS Purcell - Mathematische Annalen, 2024 - Springer
The triangulation complexity of elliptic and sol 3-manifolds | Mathematische Annalen Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your research …

A Topological Approach to Cheeger‐Gromov Universal Bounds for von Neumann ρ‐Invariants

JC Cha - Communications on Pure and Applied Mathematics, 2016 - Wiley Online Library
Using deep analytic methods, Cheeger and Gromov showed that for any smooth (4k‐1)‐
manifold there is a universal bound for the von Neumann L2 ρ‐invariants associated to …