Branched coverings, triangulations, and 3-manifolds

Izmestiev, Ivan and Joswig, Michael (2003) Branched coverings, triangulations, and 3-manifolds. ADVANCES IN GEOMETRY, 3 (2). pp. 191-225. ISSN 1615-715X

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Abstract

A canonical branched covering over each sufficiently good simplicial complex is constructed. Its structure depends on the combinatorial type of the complex. In this way, each closed orientable 3-manifold arises as a branched covering over S-3 from some triangulation of S-3. This result is related to a theorem of Hilden [11] and Montesinos [16]. The branched coverings introduced admit a rich theory in which the group of projectivities, defined in [13], plays a central role.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 Aug 2021 13:34
Last Modified: 24 Aug 2021 13:34
URI: https://pred.uni-regensburg.de/id/eprint/39374

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