activity
19992025
most citedEvery Coxeter group acts amenably on a compact space

71 citations · 177 across the 21 of their papers we have counts for

collaborators

22 papers

math.KT2025

Tautological characteristic classes III: the Witt class for PSL(2)

Jan Dymara, Tadeusz Januszkiewicz

We explain the relation between the Witt class and the universal equicommutative class for PSL(2,K). We discuss an analogue of the Milnor-Wood inequality.

math.KT2024

Tautological characteristic classes II: the Witt class

Jan Dymara, Tadeusz Januszkiewicz

Let be an arbitrary infinite field. The cohomology group contains the class of the universal central extension. When studying representations of fu…

math.AG2023

Tautological characteristic classes I

Jan Dymara, Tadeusz Januszkiewicz

We discuss the formalism of tautological characteristic classes of flat bundles. Applied to it yields the Witt class of Nekovar. Applied to , the general li…

math.DG2015

Constructions of k-regular maps using finite local schemes

Jarosław Buczyński, Tadeusz Januszkiewicz, Joachim Jelisiejew +1

A continuous map from R^m to R^N or from C^m to C^N is called k-regular if the images of any points are linearly independent. Given integers m and k a problem going back to Che…

math.AT2010

Cohomology of hyperplane complements with group ring coefficients

Michael W Davis, Tadeusz Januszkiewicz, Ian J Leary +1

We compute the cohomology with group ring coefficients of the complement of a finite collection of affine hyperplanes in a finite dimensional complex vector space. It is nonzero in…

math.GR2009★ 4 cited

Groups possessing extensive hierarchical decompositions

T. Januszkiewicz, P. H. Kropholler, I. J. Leary

Kropholler's class of groups is the smallest class of groups which contains all finite groups and is closed under the following operator: whenever admits a finite-dimensional c…