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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.

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Metadaten
Author:Frank H. Lutz
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
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