Shadows of acyclic 4-manifolds with sphere boundary
Geometric Topology
2021-01-06 v1
Abstract
In terms of Turaev's shadows, we provide a sufficient condition for a compact, smooth, acyclic 4-manifold with boundary the 3-sphere to be diffeomorphic to the standard 4-ball. As a consequence, we prove that if a compact, smooth, acyclic 4-manifold with boundary the 3-sphere has shadow-complexity at most 2, then it is diffeomorphic to the standard 4-ball.
Keywords
Cite
@article{arxiv.1905.00809,
title = {Shadows of acyclic 4-manifolds with sphere boundary},
author = {Yuya Koda and Hironobu Naoe},
journal= {arXiv preprint arXiv:1905.00809},
year = {2021}
}
Comments
14 pages, 12 figures, plus appendices