This book serves as a reference on links and on the invariants derived via algebraic
topology from covering spaces of link exteriors. It emphasizes the features of the …

We give a short introduction to the theory of twisted Alexander polynomials of a 3-manifold
associated to a representation of its fundamental group. We summarize their formal …

We study a twisted Alexander polynomial naturally associated to a hyperbolic knot in an
integer homology 3-sphere via a lift of the holonomy representation to. It is an unambiguous …

Given a virtual knot K, we introduce a new group-valued invariant VGK called the virtual knot
group, and we use the elementary ideals of VGK to define invariants of K called the virtual …

We show that given any 3-manifold N and any non-fibered class in H1 (N; Z) there exists a
representation such that the corresponding twisted Alexander polynomial is zero. We obtain …

We present some examples of locally conformal symplectic structures of the first kind on
compact nilmanifolds which do not admit Vaisman metrics. One of these examples does not …

The Thurston norm and twisted Alexander polynomials Page 1 J. reine angew. Math. 707 (2015),
87–102 Journal für die reine und angewandte Mathematik DOI 10.1515/crelle-2013-0087 © De …

Profinite rigidity of fibring Page 1 Rev. Mat. Iberoam. (Online first) DOI 10.4171/RMI/1524 ©
2025 Real Sociedad Matemática Española Published by EMS Press Profinite rigidity of fibring …

Given a prime $ p $, a group is called residually $ p $ if the intersection of its $ p $-power
index normal subgroups is trivial. A group is called virtually residually $ p $ if it has a finite …

In this paper we show that the twisted Alexander polynomial associated to a parabolic
representation determines fiberedness and genus of a wide class of 2-bridge knots. As a …