References & Citations
Mathematics > Geometric Topology
Title: Trisections of PL 4-manifolds arising from colored triangulations
(Submitted on 4 Dec 2023 (v1), last revised 22 Apr 2024 (this version, v2))
Abstract: The purpose of the present paper is twofold: firstly to extend to non-orientable compact 4-manifolds the notion of gem-induced trisection, directly obtained from colored triangulations (or, equivalently, from colored graphs encoding them, called gems); secondly to prove that, both in the orientable and non-orientable case, if the boundary is homeomorphic to a connected sum of sphere bundles over $\mathbb S^1$, gem-induced trisections naturally give rise to trisections of the corresponding closed 4-manifold. As a consequence, an estimation of the trisection genus of any closed orientable 4-manifold in terms of surgery description is obtained via colored triangulations.
Submission history
From: Paola Cristofori [view email][v1] Mon, 4 Dec 2023 14:00:02 GMT (1837kb,D)
[v2] Mon, 22 Apr 2024 14:45:28 GMT (1837kb,D)
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