Elisa Hartmann

collaborators

3 papers

math.AT2024

Geometric invariants of locally compact groups: the homological perspective

Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha

In this paper we develop the homological version of $Σ$ -theory for locally compact Hausdorff groups, leaving the homotopical version for another paper. Both versions are connected…

math.GR2024

Geometric invariants of locally compact groups: the homotopical perspective

Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha

We extend the classical theory of homotopical $Σ$ -sets $Σ^{n}$ developed by Bieri, Neumann, Renz and Strebel for abstract groups, to $Σ$ -sets $Σ_{top}^{n}$ for locally compact…

math.GR2024

Computer-assisted methods in Sigma-theory

Elisa Hartmann

We develop an algorithm for recognizing whether a character belongs to $Σ^{m}$ . In order to apply it we just need to know that the ambient group is of type $FP_{m}$ or of type…