Quasi-isometric classification of some high dimensional right-angled Artin groups (2009)
Behrstock, Jason A., Januszkiewicz, Tadeusz, Neumann, Walter D.
In this note we give the quasi-isometry classification for a class of right angled Artin groups. In particular, we obtain the first such classification for a class of Artin groups with dimension...
Odd-dimensional Charney-Davis conjecture (2009)
Gal, Swiat R., Januszkiewicz, Tadeusz
More than once we have heard that the Charney-Davis Conjecture makes sense only for odd-dimensional spheres. This is to point out that in fact it is also a statement about even-dimensional spheres.
Infinite groups with fixed point properties (2009)
Arzhantseva, Goulnara, Bridson, Martin R., Januszkiewicz, Tadeusz, Leary, Ian J., Minasyan, Ashot, Świątkowski, Jacek
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p. We...
Compactly supported cohomology of buildings (2008)
Davis, Michael, Dymara, Jan, Januszkiewicz, Tadeusz, Meier, John, Okun, Boris
We compute the compactly supported cohomology of the standard realization of any locally finite building.
Relative Hyperbolization And Aspherical Bordisms (2008)
Michael W. Davis, Tadeusz Januszkiewicz, Shmuel Weinberger
Introduction In [2, p. 116], Gromov introduced the notion of hyperbolization: it is a procedure for associating to a nite dimensional simplicial complex X a certain nonpositively curved polyhedron...
Commensurability and QI classification of free products of finitely generated abelian groups (2007)
Behrstock, Jason, Januszkiewicz, Tadeusz, Neumann, Walter
Suppose a group $G$ is quasi-isometric to a free product of a finite set $S$ of finitely generated abelian groups; let $S'$ denote the set of ranks of the free abelian parts of the groups in $S$....
Totally real immersions of surfaces (2006)
Derdzinski, Andrzej, Januszkiewicz, Tadeusz
Totally real immersions $f$ of a closed real surface $\Sigma$ in an almost complex surface $M$ are completely classified, up to homotopy through totally real immersions, by suitably defined homotopy...
GUIDO’S BOOK OF CONJECTURES 3 (2006)
Guido Mislin, Edited Indira Chatterji, Henry Glover, Tadeusz Januszkiewicz, Ian Leary
This book containing conjectures is meant to occupy my husband, Guido Mislin, during the long years of his retirement. I view this project with appreciation, since I was wondering how that mission...
Immersions of surfaces in spin$^c$-manifolds with Higgs fields (2002)
Derdzinski, Andrzej, Januszkiewicz, Tadeusz
We define a `Higgs field' for a four-dimensional spin$^c$-manifold to be a smooth section of its positive half-spinor bundle, transverse to the zero section, and defined only up to a positive...
Characteristic classes of smooth fibrations (2002)
Januszkiewicz, Tadeusz, Kedra, Jarek
We construct characteristic classes of smooth (Hamiltonian) fibrations as as fiber integrals of products of Pontriagin (or Chern) classes of vertical vector bundles over the total space of the...
Commensurability of graph products (2001)
Januszkiewicz, Tadeusz, Swiatkowski, Jacek
We define graph products of families of pairs of groups and study the question when two such graph products are commensurable. As an application we prove linearity of certain graph products.
Davis, Michael W., Januszkiewicz, Tadeusz, Weinberger, Shmuel
We give two versions of relative hyperbolization. We use the first version to prove that if (each component of) a closed manifold M is aspherical and if M is a boundary, then it is the boundary of an...
c ○ Geometry & Topology Publications (2001)
Abstract We define graph products of families of pairs of groups and study the question when two such graph products are commensurable. As an application we prove linearity of certain graph products....
Dymara, Jan, Januszkiewicz, Tadeusz
The group of simplicial automorphisms of a Tits-Kac-Moody ininite building of thickness q associated to a cocompact reflexion group with fundamental domain a simplex, is Kazhdan for q sufficiently...