finite type invariant in a sentence

1. There is also a notion of finite type invariant for 3-manifolds.
2. Viktor Vassiliev and Mikhail Goussarov started the theory of finite type invariants of knots.
3. We give the combinatorial definition of finite type invariant due to Goussarov, and ( independently ) Joan Birman and Xiao-Song Lin.
4. Viewed from this point of view, Milnor invariants are finite type invariants, and in fact they ( and their products ) are the only rational finite type concordance invariants of string links;.
5. In the early 1990s, knot invariants which encompass the Jones polynomial and its generalizations, called the finite type invariants, were discovered by integration, using the Kontsevich integral, of certain algebraic structures (, ).
6. It's difficult to find finite type invariant in a sentence.
7. By substituting e ^ h the variable t of the Jones polynomial and expanding it as the series of h each of the coefficients turn to be the Vassiliev invariant of the knot K . In order to unify the Vassiliev invariants ( finite type invariant ) Maxim Kontsevich constructed the Kontsevich integral.