activity
19992025
most citedWeighted -cohomology of Coxeter groups

44 citations · 85 across the 11 of their papers we have counts for

collaborators

11 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.GR2020

Old recurrence formulae for growth series of Coxeter groups

Jan Dymara

Several classical formulae for the growth series of a Coxeter group are proved in a new way, using the structure of the Coxeter complex, the Davis complex, or the Tits non-complex.

math.DS2015

Boundary unitary representations - right-angled hyperbolic buildings

Uri Bader, Jan Dymara

We study the unitary boundary representation of a strongly transitive group acting on a right-angled hyperbolic building. We show its irreducibility. We do so by associating to suc…

math.GR2008★ 2 cited

Compactly supported cohomology of buildings

Michael Davis, Jan Dymara, Tadeusz Januszkiewicz +2

We compute the compactly supported cohomology of the standard realization of any locally finite building.