Computations on cobordism groups of projected immersions

Csépai, András¹

¹Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary

Algebraic and Geometric Topology, Tome 25 (2025) no. 4, pp. 2441-2449

Résumé

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 of immersions with prescribed singularities. We apply this to obtain results on these cobordism groups in small and large codimensional cases.

Détail

DOI : 10.2140/agt.2025.25.2441

Keywords: projected immersion, cobordism of singular maps

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