Examples
The simplest nontrivial Vassiliev invariant of knots is given by the coefficient of the quadratic term of the Alexander–Conway polynomial. It is an invariant of order two. Modulo two, it is equal to the Arf invariant.
Any coefficient of the Kontsevich invariant is a finite type invariant.
The Milnor invariants are finite type invariants of string links.
Read more about this topic: Finite Type Invariant
Famous quotes containing the word examples:
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (16701733)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (18961966)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)