[BOOK][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 …

Finite covers of random 3-manifolds

NM Dunfield, WP Thurston - Inventiones mathematicae, 2006 - Springer
A 3-manifold is Haken if it contains a topologically essential surface. The Virtual Haken
Conjecture posits that every irreducible 3-manifold with infinite fundamental group has a …

[BOOK][B] Geometry of crystallographic groups

A Szczepański - 2012 - books.google.com
Crystallographic groups are groups which act in a nice way and via isometries on some n-
dimensional Euclidean space. They got their name, because in three dimensions they occur …

Isometry groups of infinite-genus hyperbolic surfaces

T Aougab, P Patel, NG Vlamis - Mathematische Annalen, 2021 - Springer
Given a 2-manifold, a fundamental question to ask is which groups can be realized as the
isometry group of a Riemannian metric of constant curvature on the manifold. In this paper …

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 …

Systoles of hyperbolic manifolds

MV Belolipetsky, SA Thomson - Algebraic & Geometric Topology, 2011 - msp.org
We show that for every n≥ 2 and any ϵ> 0 there exists a compact hyperbolic n–manifold
with a closed geodesic of length less than ϵ. When ϵ is sufficiently small these manifolds …

Homotopy groups of the moduli space of metrics of positive scalar curvature

B Botvinnik, B Hanke, T Schick, M Walsh - Geometry & Topology, 2010 - msp.org
We show by explicit examples that in many degrees in a stable range the homotopy groups
of the moduli spaces of Riemannian metrics of positive scalar curvature on closed smooth …

Arithmetic Veech sublattices of

JS Ellenberg, DB McReynolds - 2012 - projecteuclid.org
Arithmetic Veech sublattices of SL(2,Z) Page 1 ARITHMETIC VEECH SUBLATTICES OF SL.2;Z/
JORDAN S. ELLENBERG and DB MCREYNOLDS Abstract We prove that every algebraic …

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 …

Degrees of self-maps of products

C Neofytidis - International Mathematics Research Notices, 2017 - academic.oup.com
Every closed oriented manifold M is associated with a set of integers D (M), the set of self-
map** degrees of M. In this article, we investigate whether a product M× N admits a self …