P-moves between pants-block decompositions of 3-manifolds
Geometric Topology
2018-10-04 v1
Abstract
A pants-block decomposition of a 3-manifold is similar to a triangulation of a 3-manifold in many aspects. In this paper we show that any two pants-block decompositions of a 3-manifold are related by a finite sequence of moves which are called P-moves. The P-moves between pants-block decompositions are similar to the Pachner moves between triangulations. Moreover, we also give a list of types of P-moves. The main tools we used in this paper are the Morse 2-functions, Reeb complexes and a new 2-dimensional complex called P-complex.
Keywords
Cite
@article{arxiv.1810.01574,
title = {P-moves between pants-block decompositions of 3-manifolds},
author = {Pengcheng Xu},
journal= {arXiv preprint arXiv:1810.01574},
year = {2018}
}
Comments
51 pages, 46 figures. This work was done in 2016. It is a part of the PhD thesis of the author