Triangulated Manifolds with Few Vertices: Geometric 3-Manifolds
Please always quote using this URN: urn:nbn:de:0297-zib-7583
- We explicitly construct small triangulations for a number of well-known $3$-dimensional manifolds and give a brief outline of some aspects of the underlying theory of $3$-manifolds and its historical development.
Author: | Frank H. Lutz |
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Document Type: | ZIB-Report |
Tag: | 3-dimensional geometries; 3-manifolds; Seifert manifolds; geometrization conjecture; torus bundles; triangulating manifolds |
MSC-Classification: | 57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57-02 Research exposition (monographs, survey articles) |
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Mxx Low-dimensional topology / 57M50 Geometric structures on low-dimensional manifolds | |
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Nxx Topological manifolds / 57N10 Topology of general 3-manifolds [See also 57Mxx] | |
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Qxx PL-topology / 57Q15 Triangulating manifolds | |
Date of first Publication: | 2003/11/05 |
Series (Serial Number): | ZIB-Report (03-36) |
ZIB-Reportnumber: | 03-36 |