7 papers
On special generic maps of rational homology spheres into Euclidean spaces
Dominik Wrazidlo
Special generic maps are smooth maps between smooth manifolds with only definite fold points as their singularities. The problem of whether a closed -manifold admits a special g…
On the rational homotopy type of intersection spaces
Dominik Wrazidlo
Banagl's method of intersection spaces allows to modify certain types of stratified pseudomanifolds near the singular set in such a way that the rational Betti numbers of the modif…
Cusp cobordism group of Morse functions
Dominik Wrazidlo
By a Morse function on a compact manifold with boundary we mean a real-valued function without critical points near the boundary such that its critical points as well as the critic…
A fundamental class for intersection spaces of depth one Witt spaces
Dominik Wrazidlo
By a theorem of Banagl-Chriestenson, intersection spaces of depth one pseudomanifolds exhibit generalized Poincaré duality of Betti numbers, provided that certain characteristic cl…
Singular Patterns of Generic Maps of Surfaces with Boundary into the Plane
Dominik Wrazidlo
For generic maps from compact surfaces with boundary into the plane we develop an explicit algorithm for minimizing both the number of cusps and the number of components of the sin…
The chromatic Brauer category and its linear representations
Felipe Müller, Dominik Wrazidlo
The Brauer category is a symmetric strict monoidal category that arises as a categorification of the Brauer algebras in the context of Banagl's framework of positive topological fi…