22 citations · 26 across the 7 of their papers we have counts for
10 papers
Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces
Markus Banagl, Jörg Schürmann, Dominik J. Wrazidlo
Brasselet, the second author and Yokura introduced Hodge-theoretic Hirzebruch-type characteristic classes , and conjectured that they are equal to the Goresky-MacPher…
The Uniqueness Theorem for Gysin Coherent Characteristic Classes of Singular Spaces
Markus Banagl, Dominik Wrazidlo
We establish a general computational scheme designed for a systematic computation of characteristic classes of singular complex algebraic varieties that satisfy a Gysin axiom in a…
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…
Bordism of constrained Morse functions
Dominik Wrazidlo
We call a Morse function on a closed manifold -constrained if neither nor has critical points of indefinite Morse index . In this paper we study bordism groups…
Standard Special Generic Maps of Homotopy Spheres into Euclidean Spaces
Dominik Wrazidlo
A so-called special generic map is by definition a map of smooth manifolds all of whose singularities are definite fold points. It is in general an open problem posed by Saeki in 1…