#### Filter Results:

- Full text PDF available (46)

#### Publication Year

2003

2015

- This year (0)
- Last 5 years (12)
- Last 10 years (29)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- STEFAN FRIEDL
- 2003

We classify the metabelian unitary representations of π1(MK), where MK is the result of zero-surgery along a knot K ⊂ S. We show that certain eta invariants associated to metabelian representations π1(MK) → U(k) vanish for slice knots and that even more eta invariants vanish for ribbon knots and doubly slice knots. We show that this result contains the… (More)

- Stefano Vidussi, Stefan Friedl
- 2013

We show that given any 3-manifold N and any non-fibered class in H 1(N;Z) there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely… (More)

- STEFAN FRIEDL, TAEHEE KIM
- 2005

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 of a knot complement determines the genus of the knot in the 3–sphere. We show that the degrees of twisted Alexander polynomials give lower bounds on the Thurston norm,… (More)

In the early 1980’s Mike Freedman showed that all knots with trivial Alexander polynomial are topologically slice (with fundamental group Z). This paper contains the first new examples of topologically slice knots. In fact, we give a sufficient homological condition under which a knot is slice with fundamental group Z ⋉ Z[1/2]. These two fundamental groups… (More)

- STEFAN FRIEDL, STEFANO VIDUSSI
- 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 explain their relationship to twisted Reidemeister torsion. We then give a survey of the many applications of twisted invariants to the study of topological problems.… (More)

- Stefan Friedl
- 2012

Let M be a closed 4-manifold with a free circle action. If the orbit manifold N3 satisfies an appropriate fibering condition, then we show how to represent a cone in H2(M ;R) by symplectic forms. This generalizes earlier constructions by Thurston, Bouyakoub and Fernández et al . In the case that M is the product 4-manifold S1 ×N , our construction… (More)

- Stefan Friedl, Stefano Vidussi, STEFANO VIDUSSI
- 2011

In this paper we use the Lubotzky alternative for finitely generated linear groups to determine which 4-manifolds admitting a free circle action can be endowed with a symplectic structure with trivial canonical class.

- Stefan Friedl, Stefano Vidussi, Tomasz S. Mrowka
- 2011

Let N be a closed irreducible 3-manifold and assume N is not a graph manifold. We improve for all but finitely many S1-bundles M over N the adjunction inequality for the minimal complexity of embedded surfaces. This allows us to completely determine the minimal complexity of embedded surfaces in all but finitely many S1-bundles over a large class of… (More)

- STEFAN FRIEDL, TAEHEE KIM
- 2005

We introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number bigger than one generalizing norms of McMullen and Turaev. We show that twisted Alexander norms give lower bounds on the Thurston norm of a 3-manifold. Using these we completely determine the Thurston norm of many 3-manifolds which can not be determined… (More)

- STEFAN FRIEDL, STEFANO VIDUSSI
- 2006

Let N be a closed, oriented 3–manifold. A folklore conjecture states that S× N admits a symplectic structure only if N admits a fibration over the circle. The purpose of this paper is to provide evidence to this conjecture studying suitable twisted Alexander polynomials of N , and showing that their behavior is the same as of those of fibered 3– manifolds.… (More)