Zobrazeno 1 - 10
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pro vyhledávání: '"Wrazidlo, Dominik"'
Brasselet, the second author and Yokura introduced Hodge-theoretic Hirzebruch-type characteristic classes $IT_{1, \ast}$, and conjectured that they are equal to the Goresky-MacPherson $L$-classes for pure-dimensional compact complex algebraic varieti
Externí odkaz:
http://arxiv.org/abs/2310.15042
Autor:
Banagl, Markus, Wrazidlo, Dominik
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 transverse setup. This scheme is explicitly geometric and of a recursi
Externí odkaz:
http://arxiv.org/abs/2210.13009
Autor:
Wrazidlo, Dominik
Special generic maps are smooth maps between smooth manifolds with only definite fold points as their singularities. The problem of whether a closed $n$-manifold admits a special generic map into Euclidean $p$-space for $1 \leq p \leq n$ was studied
Externí odkaz:
http://arxiv.org/abs/2009.05928
Autor:
Wrazidlo, Dominik
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 modified spaces satisfy generalized Poincar\'{e} duality in analogy with Go
Externí odkaz:
http://arxiv.org/abs/2004.05932
Autor:
Wrazidlo, Dominik
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 critical points of its restriction to the boundary are all non-degenerate. F
Externí odkaz:
http://arxiv.org/abs/1905.05712
Autor:
Wrazidlo, Dominik
By a theorem of Banagl-Chriestenson, intersection spaces of depth one pseudomanifolds exhibit generalized Poincar\'{e} duality of Betti numbers, provided that certain characteristic classes of the link bundles vanish. In this paper, we show that the
Externí odkaz:
http://arxiv.org/abs/1904.03605
Autor:
Müller, Felipe, Wrazidlo, Dominik
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 field theories (TFTs). We introduce the chromatic Brauer category as an
Externí odkaz:
http://arxiv.org/abs/1902.05517
Autor:
Wrazidlo, Dominik
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 singular locus. More precisely, we minimize among maps with fixed boundar
Externí odkaz:
http://arxiv.org/abs/1902.03911
Autor:
Wrazidlo, Dominik
We call a Morse function $f$ on a closed manifold $k$-constrained if neither $f$ nor $-f$ has critical points of indefinite Morse index $< k$. In this paper we study bordism groups of $k$-constrained Morse functions, and thus interpolate between the
Externí odkaz:
http://arxiv.org/abs/1803.11177
Autor:
Wrazidlo, Dominik
Publikováno v:
Topology and its Applications 234 (2018), 348--358
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 1993 to determine the set of integers $p$ for which a given homotopy sp
Externí odkaz:
http://arxiv.org/abs/1707.08646