Uniqueness of 4-manifolds described as sequences of 3-d handlebodies
Geometric Topology
2021-11-18 v1
Abstract
Work of numerous authors has shown that any smooth, orientable, closed 4-manifold may be described as a loop of Morse functions on a surface, a loop in the cut complex, a loop in the pants complex, or as a multisection. In this paper, we prove a corresponding uniqueness theorem for each of these descriptions, so that, for example, any two loops of Morse functions on a surface yielding diffeomorphic 4-manifolds are related by a given set of moves.
Keywords
Cite
@article{arxiv.2111.08924,
title = {Uniqueness of 4-manifolds described as sequences of 3-d handlebodies},
author = {Gabriel Islambouli},
journal= {arXiv preprint arXiv:2111.08924},
year = {2021}
}
Comments
31 pages, 22 figures