7 papers · 1 filter
On quasi-holomorphic homotopies of immersions of 3-manifolds into 5-manifolds
András Csépai
The notion of a quasi-holomorphic homotopy of two immersions of a -manifold into a -manifold extends the notion of their regular homotopy by also allowing the homotopy to pas…
Quasi-holomorphic maps
András Csépai, András Szűcs
We introduce a new notion, called quasi-holomorphic maps. These are real smooth maps equipped with a structure that imitates the singularities and singularity stratifications of ho…
On coincidences of Morin and first order Thom--Boardman singular loci
András Csépai, András Szűcs, Tamás Terpai
It is well-known that the Thom polynomial in Stiefel--Whitney classes expressing the cohomology class dual to the locus of the cusp singularity for codimension- maps and that of…
Computations on cobordism groups of projected immersions
András Csépai
We use a classifying space construction by Szűcs and Terpai to extend Salomonsen's exact sequence from cobordism groups of immersions to cobordism groups of hyperplane projections…
Stable Pontryagin-Thom construction for proper maps II
András Csépai
In arXiv:1905.07734 we presented a construction that is an analogue of Pontryagin's for proper maps in stable dimensions. This gives a bijection between the cobordism set of framed…
Cobordisms of singular maps
András Csépai
The notion of cobordism of singular maps was introduced around 1980 by A. Szűcs and U. Koschorke independently. As an application, Szűcs used it to compute cobordism groups of imme…