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A Survey of the Impact of Thurston’s Work on Knot Theory

In: In the Tradition of Thurston

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  • Makoto Sakuma

    (Osaka City University Advanced Mathematical Institute
    Hiroshima University, Department of Mathematics)

Abstract

This is a survey of the impact of Thurston’s work on knot theory, laying emphasis on the two characteristic features, rigidity and flexibility, of 3-dimensional hyperbolic structures. We also lay emphasis on the role of the classical invariants, the Alexander polynomial and the homology of finite branched/unbranched coverings.

Suggested Citation

  • Makoto Sakuma, 2020. "A Survey of the Impact of Thurston’s Work on Knot Theory," Springer Books, in: Ken’ichi Ohshika & Athanase Papadopoulos (ed.), In the Tradition of Thurston, chapter 0, pages 67-160, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-55928-1_3
    DOI: 10.1007/978-3-030-55928-1_3
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