(−2,3,7) pretzel knot

In geometric topology, a branch of mathematics, the (2, 3, 7) pretzel knot, sometimes called the Fintushel–Stern knot (after Ron Fintushel and Ronald J. Stern), is an important example of a pretzel knot which exhibits various interesting phenomena under three-dimensional and four-dimensional surgery constructions.

(−2,3,7) pretzel knot
Arf invariant0
Crosscap no.2
Crossing no.12
Hyperbolic volume2.828122
Unknotting no.5
Conway notation[−2,3,7]
Dowker notation4, 8, -16, 2, -18, -20, -22, -24, -6, -10, -12, -14
D–T notation12n242
Last / Next12n241  / 12n243 
Other
hyperbolic, fibered, pretzel, reversible
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