Keywords

#hyperbolic_volume

Hyperbolic volume

Normalized hyperbolic volume of the complement of a hyperbolic knot

In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric. The volume is necessarily a finite real number, and is a topological invariant of the link. As a link invariant, it was first studied by William Thurston in connection with his geometrization conjecture.

Tue 27th

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Hyperbolic volume Alternating knot Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic link Volume conjecture Hyperbolic manifold Simplicial volume Hyperbolic space Knot invariant
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