Self-mapping degrees of torus bundles and torus semi-bundles

Hongbin Sun; Shicheng Wang; Jianchun Wu

Self-mapping degrees of torus bundles and torus semi-bundles

Geometric Topology 2008-10-13 v1 Algebraic Topology

Authors: Hongbin Sun , Shicheng Wang , Jianchun Wu

Abstract

Each closed oriented 3-manifold $M$ is naturally associated with a set of integers $D(M)$ , the degrees of all self-maps on $M$ . $D(M)$ is determined for each torus bundle and torus semi-bundle $M$ . The structure of torus semi-bundle is studied in detail. The paper is a part of a project to determine $D(M)$ for all 3-manifolds in Thurston's picture.

Keywords

self-mapping degrees torus bundles torus semi-bundles closed oriented 3-manifolds Thurston's picture

Cite

@article{arxiv.0810.1799,
  title  = {Self-mapping degrees of torus bundles and torus semi-bundles},
  author = {Hongbin Sun and Shicheng Wang and Jianchun Wu},
  journal= {arXiv preprint arXiv:0810.1799},
  year   = {2008}
}

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23 pages, 9 figures

Self-mapping degrees of torus bundles and torus semi-bundles

Abstract

Keywords

Cite

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