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A representation theorem for fibered knots and their monodromy maps

Part of the Lecture Notes in Mathematics book series (LNM,volume 722)

Keywords

  • Boundary Component
  • Representation Theorem
  • Closed Surface
  • Mapping Class Group
  • Covering Space

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References

  1. Birman, Joan S., Braids, Links and Mapping class groups, Annals of Math. Studies #82, Princeton University Press, 1974.

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  2. Birman, Joan S. and Hilden, Hugh M., "The homeomorphism problem for S3", Bull. AMS 79, No.5, pp. 1006–1009.

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  3. Fox, R.H., "Construction of simply-connected 3-manifolds", pp.213–216, Topology of 3-manifolds and related topics, Editor M.K. Fort Jr., Prentice-Hall, 1962.

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  4. Goldsmith, Deborah A., "Symmetric fibered links", pp. 3–24, Knots, groups and 3-manifolds, Ed. L.P. Neuwirth, Annals of Math. Studies, #84, Princeton University Press, 1975.

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  5. Hilden, Hugh M., "Three-fold branched coverings of S3", Amer. J. Math. 98, No. 4 (1976), pp 989–997.

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  6. Montesinos, José M., "Three-manifolds as 3-fold branched covering spaces of S3", Quart. J. Math. (Oxford) (2), 27, (1976), pp. 85–94.

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© 1979 Springer-Verlag

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Birman, J.S. (1979). A representation theorem for fibered knots and their monodromy maps. In: Fenn, R. (eds) Topology of Low-Dimensional Manifolds. Lecture Notes in Mathematics, vol 722. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063183

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  • DOI: https://doi.org/10.1007/BFb0063183

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09506-4

  • Online ISBN: 978-3-540-35186-3

  • eBook Packages: Springer Book Archive