Depicting a generalized shift move in crown diagrams
Geometric Topology
2022-02-11 v1
Abstract
This paper gives a diagrammatic way to perform a generalized shift move on a crown diagram of a smooth 4-manifold. Applications include a simplified proof that if two crown diagrams are related by a generalized shift move, then they are slide-equivalent; a method for converting a genus g > 1 Lefschetz fibration into a crown diagram; and the fact that the vanishing cycles of such a crown diagram are slide-equivalent to a standard inclusion of the Lefschetz vanishing cycles into a genus g + 1 surface.
Cite
@article{arxiv.2202.04749,
title = {Depicting a generalized shift move in crown diagrams},
author = {J Williams},
journal= {arXiv preprint arXiv:2202.04749},
year = {2022}
}