Guts and The Minimal Volume Orientable Hyperbolic 3-Manifold with 3 Cusps
Geometric Topology
2023-04-21 v1
Abstract
The minimal volume of orientable hyperbolic manifolds with a given number of cusps has been found for cusps, while the minimal volume of 3-cusped orientable hyperbolic manifolds remains unknown. By using guts in sutured manifolds and pared manifolds, we are able to show that for an orientable hyperbolic 3-manifold with 3 cusps such that every second homology class is libroid, its volume is at least Catalan's constant.
Keywords
Cite
@article{arxiv.2304.09950,
title = {Guts and The Minimal Volume Orientable Hyperbolic 3-Manifold with 3 Cusps},
author = {Yue Zhang},
journal= {arXiv preprint arXiv:2304.09950},
year = {2023}
}
Comments
40 pages, 10 figures. arXiv admin note: text overlap with arXiv:0804.0043, arXiv:1209.1374 by other authors