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3-Manifold Groups

- Matthias Aschenbrenner, Stefan Friedl, H. Wilton
- Mathematics
- 1 May 2012

We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.

Twisted Alexander Polynomials of Hyperbolic Knots

- N. Dunfield, Stefan Friedl, Nicholas Jackson
- Mathematics, Computer Science
- Exp. Math.
- 15 August 2011

TLDR

The cobordism group of homology cylinders

- Jae Choon Cha, Stefan Friedl, Taehee Kim
- Mathematics
- Compositio Mathematica
- 30 September 2009

Abstract Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface. This group can be regarded as an enlargement of the mapping class group. Using torsion… Expand

Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants

- Stefan Friedl
- Mathematics
- 28 May 2003

We give a useful classification of the metabelian unitary repre- sentations of π1(MK), where MK is the result of zero-surgery along a knot K ⊂ S 3 . We show that certain eta invariants associated to… Expand

3-manifold groups are virtually residually p

- Matthias Aschenbrenner, Stefan Friedl
- Mathematics
- 21 April 2010

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 index… Expand

A SURVEY OF TWISTED ALEXANDER POLYNOMIALS

- Stefan Friedl, Stefano Vidussi
- Mathematics
- 5 May 2009

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 properties and we… Expand

Twisted Alexander polynomials detect fibered 3-manifolds

- Stefan Friedl, Stefano Vidussi
- Mathematics
- 8 May 2008

A classical result in knot theory says that the Alexander polynomial of a fibered knot is monic and that its degree equals twice the genus of the knot. This result has been generalized by various… Expand

The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm

- M. Boileau, Stefan Friedl
- Mathematics
- 28 May 2015

We show that a regular isomorphism of profinite completion of the fundamental groups of two 3-manifolds N1 and N2 induces an isometry of the Thurston norms and a bijection between the fibered… Expand

New Constructions of Slice Links

- T. Cochran, Stefan Friedl, P. Teichner
- Mathematics
- 13 September 2007

We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provide a general… Expand

The Thurston norm, fibered manifolds and twisted Alexander polynomials

- Stefan Friedl, Taehee Kim
- Mathematics
- 26 May 2005

Abstract Every element in the first cohomology group of a 3-manifold is dual to embedded surfaces. The Thurston norm measures the minimal ‘complexity’ of such surfaces. For instance the Thurston norm… Expand

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