Can I read A Knot Bounding a Grope of Class N Is N/2-trivial on EtoBox?

A Knot Bounding a Grope of Class N Is N/2-trivial by Conant, James is a scholarly article available to read on EtoBox.

What is A Knot Bounding a Grope of Class N Is N/2-trivial about?

In this article it is proven that if a knot, K, bounds an imbedded grope of class n, then the knot is n/2-trivial in the sense of Gusarov and Stanford. That is, all type n/2 invariants vanish on K. We also give a simple way to construct all knots bounding a grope of a given class. It is further shown that this result is optimal in the sense that for any n there exist gropes which are not n/2+1- trivial.

Author

Conant, James

Published

1999

Language

EN