doi: 10.17706/ijapm.2023.13.4.62-79
A Family of 3-Manifolds Arising from the Plumbing Construction
- Phillips Exeter Academy, Exeter, NH, USA.
Abstract
Inspired by Kirby’s work in which constructed the Poincare 3-sphere S^3/2I by an E<sub>8</sub>-plumbing, we worked out a general and systematic argument to show that other spherical 3-manifolds S<sup>3</sup>/2O, S<sup>3</sup>/2T and S<sup>3</sup>/2D<sub>n</sub> can be obtained from a plumbing construction by the Dynkin diagrams E<sub>7</sub>, E<sub>6</sub>, and D<sub>n+2</sub>, respectively.
Keywords
- 3-Manifolds
- vector bundles
- Seifert fiber spaces
- invariant theory
How to Cite
Yifei Zhao, "A Family of 3-Manifolds Arising from the Plumbing Construction," International Journal of Applied Physics and Mathematics, vol. 13, no. 4, pp. 62-79, 2023. https://doi.org/ 10.17706/ijapm.2023.13.4.62-79
Copyright & License
Copyright © 2023 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).