The Jones and Alexander polynomials are examples of these objects' namesake invariants.
These objects are the subject of the Tait flyping conjecture proven by Thistlethwaite and Menasco. Properties of these objects include the Thurston-Bennequin number, which equals writhe minus cusp number. These objects are the boundaries of Seifert surfaces. The Gordon-Luecke theorem states that two of these objects are equivalent if their complements are homeomorphic. One of these objects named for Fintushel and Stern unusually has seven exceptional slopes, so named because they produce non-hyperbolic (*) 3-manifolds under Dehn surgery. The Jones and Alexander polynomials are examples of these objects' namesake invariants. These objects can be manipulated via the Reidemeister moves. Embedding a circle in three-dimensional Euclidean space produces one of these objects, which are generalized to higher dimensions by links. For 10 points, name these mathematical objects that include the trefoil, the figure eight, and the pretzel.
These objects are the subject of the Tait flyping conjecture proven by Thistlethwaite and Menasco.
knots [accept  links before mentioned]