Add to ORKGThis thesis contains three projects revolving around the L2-torsion polytope. First we show that the L2-torsion polytope of infinite elementary amenable groups vanishes. Then we establish a link between the L2-torsion polytope and the Bieri-Neumann-Strebel invariant for a particular class of free-by-cyclic groups. We finally investigate the integral polytope group as this is the place where the L2-torsion polytope takes values in
The strong Atiyah conjecture for a group G, which restricts the possible values taken by L2-Betti nu...
Let M be an oriented irreducible 3-manifold with infinite fundamental group and empty or toroidal bo...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...
We introduce the notion of groups of polytope class and show that torsion-free amenable groups satis...
We show that the Grothendieck group associated to integral polytopes in $\mathbb{R}^n$ is free-abeli...
Given an L2-acyclic connected finite CW-complex, we define its universal L2-torsion in terms of the ...
We investigate Friedl-Lück's universal $L^2$-torsion for descending HNN extensions of finitely gener...
We develop the theory of agrarian invariants, which are algebraic counterparts to $L^2$-invariants. ...
In this paper, in an attempt to extend an earlier work of Lück, we construct a knot invariant with ...
In dieser Arbeit zeigt der Autor die Gleichheit von getwisteter analytischer und topologischer $L^2$...
AbstractWe discuss a generalisation of Reidemeister-Franz torsion which applies to infinite dimensio...
Wir berechnen L²-Invarianten bestimmter nichtuniformer Gitter in halbeinfachen Lie-Gruppen mith...
Henneke F, Kielak D. The agrarian polytope of two-generator one-relator groups. Journal of the Londo...
Abstract. Cochran-Orr-Teichner introduced in [11] a natural filtration of the smooth knot concordanc...
We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. ...
The strong Atiyah conjecture for a group G, which restricts the possible values taken by L2-Betti nu...
Let M be an oriented irreducible 3-manifold with infinite fundamental group and empty or toroidal bo...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...
We introduce the notion of groups of polytope class and show that torsion-free amenable groups satis...
We show that the Grothendieck group associated to integral polytopes in $\mathbb{R}^n$ is free-abeli...
Given an L2-acyclic connected finite CW-complex, we define its universal L2-torsion in terms of the ...
We investigate Friedl-Lück's universal $L^2$-torsion for descending HNN extensions of finitely gener...
We develop the theory of agrarian invariants, which are algebraic counterparts to $L^2$-invariants. ...
In this paper, in an attempt to extend an earlier work of Lück, we construct a knot invariant with ...
In dieser Arbeit zeigt der Autor die Gleichheit von getwisteter analytischer und topologischer $L^2$...
AbstractWe discuss a generalisation of Reidemeister-Franz torsion which applies to infinite dimensio...
Wir berechnen L²-Invarianten bestimmter nichtuniformer Gitter in halbeinfachen Lie-Gruppen mith...
Henneke F, Kielak D. The agrarian polytope of two-generator one-relator groups. Journal of the Londo...
Abstract. Cochran-Orr-Teichner introduced in [11] a natural filtration of the smooth knot concordanc...
We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. ...
The strong Atiyah conjecture for a group G, which restricts the possible values taken by L2-Betti nu...
Let M be an oriented irreducible 3-manifold with infinite fundamental group and empty or toroidal bo...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...