The combinatorics of some tetrahedron manifolds |
| |
Authors: | Fulvia Spaggiari |
| |
Affiliation: | Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy |
| |
Abstract: | We study a family of closed connected orientable 3-manifolds (which are examples of tetrahedron manifolds) obtained by pairwise identifications of the boundary faces of a standard tetrahedron. These manifolds generalize those considered in previous papers due to Grasselli, Piccarreta, Molnár and Sieradski. Then we completely describe our tetrahedron manifolds in terms of Seifert fibered spaces, and determine their Seifert invariants. Moreover, we obtain different representations of our manifolds as 2-fold coverings, and give examples of non-equivalent knots with the same tetrahedron manifold as 2-fold branched covering space. |
| |
Keywords: | Manifold Heegaard diagram Branched covering Knot Group presentation Seifert space |
本文献已被 ScienceDirect 等数据库收录! |
|