The salient crossings of a crown diagram
Geometric Topology
2022-02-14 v1
Abstract
A crown diagram of a smooth, closed oriented 4-manifold can be thought of as the projection of a link in the product of a closed surface and the circle, with chords in the circle direction connecting the strands of each crossing. This paper uses a straightforward assignment of integers to these chords to show that the smooth structures on the topological 4-manifold underlying a pair of Fintushel-Stern knot surgery 4-manifolds which are known to have the same Seiberg-Witten invariant are not isotopic. A natural question is to determine if the argument may be strengthened to show these manifolds are not diffeomorphic.
Keywords
Cite
@article{arxiv.2202.05418,
title = {The salient crossings of a crown diagram},
author = {J Williams},
journal= {arXiv preprint arXiv:2202.05418},
year = {2022}
}