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Mathematics > Geometric Topology
Title: Normal crossing immersions, cobordisms and flips
(Submitted on 4 Jan 2020 (v1), last revised 14 May 2024 (this version, v2))
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.
Submission history
From: Karim Alexander Adiprasito [view email][v1] Sat, 4 Jan 2020 18:10:12 GMT (12kb,D)
[v2] Tue, 14 May 2024 00:48:11 GMT (360kb,D)
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