In this book, we present important recent results on the geometry and topology of 3-
dimensional manifolds and orbifolds. Orbifolds are natural generalizations of manifolds, and …

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 …

In this note we present a very simple method of proving that some hyperbolic manifolds M
have finite sheeted covers with positive first Betti number. The method applies to the …

The purpose of this paper is to describe positive and negative results on subgroup
separability. This is largely in the context of 3-manifold groups, though several of the …

Let M be a 4‐manifold with residually finite fundamental group G having b1 (G)> 0. Assume
that M carries a symplectic structure with trivial canonical class K= 0∈ H2 (M). Using a …

Let $ N $ be a closed, oriented $3 $–manifold. A folklore conjecture states that $ S^{1}\times
N $ admits a symplectic structure if and only if $ N $ admits a fibration over the circle. We will …

Let G be an arithmetic Kleinian group, and let O be the associated hyperbolic 3-orbifold or 3-
manifold. In this paper, we prove that, in many cases, G is large, which means that some …

Poincaré duality complexes model the homotopy types of closed manifolds. The subject
began in 1967 with a paper by CTC Wall, in which such complexes were first defined, and …

We give a simple proof of a result originally due to Dimca and Suciu: a group that is both
Kähler and the fundamental group of a closed threemanifold is finite. We also prove that a …

We consider circle bundles over compact three-manifolds with symplectic total spaces. We
show that the base of such a space must be irreducible or the product of the two-sphere with …