knot invariant
function of a knot that takes the same value for equivalent knots
hyperbolic volume
normalized hyperbolic volume of the complement of a hyperbolic knot
unknotting number
The minimum number of times a specific knot must be passed through itself to become untied
crossing number
non-negative integer-valued knot invariant; least number of crossings in a knot diagram
finite type invariant
type of invariant in Knot theory
knot group
fundamental group of a knot complement
Quantum invariant
concept in mathematical knot theory
knot polynomial
knot invariant that is a polynomial
bridge number
integer-valued knot invariant
stick number
smallest number of edges of an equivalent polygonal path for a knot
tunnel number
knot invariant
slice genus
integer-valued knot invariant; least genus of a surface in the 4-ball bounding the 3-sphere such that the boundary of the surface is the knot