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Computations on cobordism groups of projected immersions

Geometric Topology 2025-08-20 v1 Algebraic Topology

Abstract

We use a classifying space construction by Sz\H{u}cs 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.

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Cite

@article{arxiv.2310.19465,
  title  = {Computations on cobordism groups of projected immersions},
  author = {András Csépai},
  journal= {arXiv preprint arXiv:2310.19465},
  year   = {2025}
}

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9 pages