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Lens Space


A lens space L(p,q) is the 3-manifold obtained by gluing the boundaries of two solid tori together such that the meridian of the first goes to a (p,q)-curve on the second, where a (p,q)-curve wraps around the longitude p times and around the meridian q times.


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References

Adams, C. C. "The Three-Sphere and Lens Spaces." §9.2 in The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 246-256, 1994.Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, 1976.

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Lens Space

Cite this as:

Weisstein, Eric W. "Lens Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LensSpace.html

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