Normal crossing immersions, cobordisms and flips

Karim Adiprasito; Gaku Liu

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arXiv · 2001.01108

Normal crossing immersions, cobordisms and flips

Karim Adiprasito·Gaku Liu

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Abstract

We study various analogues of theorems from PL topology for cubical complexes. In particular, we characterize when two PL homeomorphic cubulations are equivalent by Pachner moves by showing the question to be equivalent to the existence of cobordisms between generic immersions of hypersurfaces. This solves a question and conjecture of Habegger and Funar.

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BibTeX RIS

Karim Adiprasito, Gaku Liu. 2020-01-04. Normal crossing immersions, cobordisms and flips. https://arxiv.org/abs/2001.01108

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