[图书][B] 3-manifold groups

M Aschenbrenner, S Friedl, H Wilton - 2015 - ems.press
The topic of this book is 3-manifold groups, that is, fundamental groups of compact 3-
manifolds. This class of groups sits between the class of fundamental groups of surfaces …

3-manifold groups

M Aschenbrenner, S Friedl, H Wilton - arXiv preprint arXiv:1205.0202, 2012 - arxiv.org
arXiv:1205.0202v3 [math.GT] 24 Apr 2013 Page 1 arXiv:1205.0202v3 [math.GT] 24 Apr 2013
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …

Poisson-Voronoi tessellations and fixed price in higher rank

M Fraczyk, S Mellick, A Wilkens - arXiv preprint arXiv:2307.01194, 2023 - arxiv.org
Let $ G $ be a higher rank semisimple real Lie group or the product of at least two
automorphism groups of regular trees. We prove all probability measure preserving actions …

Homology and homotopy complexity in negative curvature

U Bader, T Gelander, R Sauer - Journal of the European Mathematical …, 2020 - ems.press
Homology and homotopy complexity in negative curvature Page 1 DOI 10.4171/JEMS/971 J.
Eur. Math. Soc. 22, 2537–2571 c European Mathematical Society 2020 Uri Bader · Tsachik …

Pseudo-Anosov stretch factors and homology of mapping tori

I Agol, CJ Leininger, D Margalit - Journal of the London …, 2016 - academic.oup.com
We consider the pseudo-Anosov elements of the mapping class group of a surface of genus
that fix a rank subgroup of the first homology of the surface. We show that the smallest …

Computing arithmetic Kleinian groups

A Page - Mathematics of Computation, 2015 - ams.org
Computing arithmetic Kleinian groups Page 1 MATHEMATICS OF COMPUTATION Volume
84, Number 295, September 2015, Pages 2361–2390 S 0025-5718(2015)02939-1 Article …

Finite index rigidity of hyperbolic groups

N Lazarovich - arXiv preprint arXiv:2302.04484, 2023 - arxiv.org
We prove that the topological complexity of a finite index subgroup of a hyperbolic group is
linear in its index. This follows from a more general result relating the size of the quotient of a …

Counting commensurability classes of hyperbolic manifolds

T Gelander, A Levit - Geometric and Functional Analysis, 2014 - Springer
Abstract Gromov and Piatetski-Shapiro proved existence of finite volume non-arithmetic
hyperbolic manifolds of any given dimension. In dimension four and higher, we show that …

[PDF][PDF] Random surfaces with large systoles

M Liu, B Petri - arXiv preprint arXiv:2312.11428, 2023 - arxiv.org
arXiv:2312.11428v1 [math.GT] 18 Dec 2023 Page 1 RANDOM SURFACES WITH LARGE
SYSTOLES MINGKUN LIU AND BRAM PETRI Abstract. We present two constructions, both …

Hyperbolic four-manifolds

B Martelli - arXiv preprint arXiv:1512.03661, 2015 - arxiv.org
arXiv:1512.03661v2 [math.GT] 30 Dec 2015 Page 1 HYPERBOLIC FOUR-MANIFOLDS
BRUNO MARTELLI Abstract. This is a short survey on finite-volume hyperbolic four-manifolds …