3 papers
math.GT2026
Thom polynomials relative to prescribed maps around the boundary
Masato Tanabe
Thom polynomials are universal cohomological obstructions to the appearance of singularities of given types in differentiable maps. As an application, various invariants of immersi…
math.AG2024
Unstability problem of real analytic maps
Karim Bekka, Satoshi Koike, Toru Ohmoto +2
As well-known, the stability of proper maps is characterized by the infinitesimal stability. In the present paper we study the counterpart in real…
math.GT2024
Regular homotopy classes of links of simple singularities and immersions associated with their Dynkin diagrams
Masato Tanabe
Our aim is to determine the regular homotopy classes of immersions related to Arnol'd's simple singularities. For every type of simple singularities, we determine the regular homot…