Lickorish type construction of manifolds over simple polytopes
Algebraic Topology
2019-02-20 v1 Combinatorics
Geometric Topology
Abstract
This paper is a survey on the Lickorish type construction of some kind of closed manifolds over simple convex polytopes. Inspired by Lickorish's theorem, we propose a method to describe certain families of manifolds over simple convex polytopes with torus action. Under this construction, many classical classification results of these families of manifolds could be interpreted by this construction and some further problems will be discussed.
Keywords
Cite
@article{arxiv.1902.06895,
title = {Lickorish type construction of manifolds over simple polytopes},
author = {Zhi Lü and Wei Wang and Li Yu},
journal= {arXiv preprint arXiv:1902.06895},
year = {2019}
}
Comments
16 pages, 9 figures. This is the accepted version. The published version appears in "Algebraic topology and related topics", Proceedings of the 7th East Asian Conference on Algebraic Topology, (Eds. M. Singh, Y. Song, J. Wu), Trends Math., Birkhauser/Springer, 2019