8 citations · 13 across the 2 of their papers we have counts for
4 papers
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
The algebra of knotted trivalent graphs and Turaev's shadow world
Dylan P. Thurston
Knotted trivalent graphs (KTGs) form a rich algebra with a few simple operations: connected sum, unzip, and bubbling. With these operations, KTGs are generated by the unknotted tet…
On the Existence of Finite Type Link Homotopy Invariants
Blake Mellor, Dylan Thurston
We show that for links with at most 5 components, the only finite type homotopy invariants are products of the linking numbers. In contrast, we show that for links with at least 9…
Perturbative 3-manifold invariants by cut-and-paste topology
Greg Kuperberg, Dylan P. Thurston
We give a purely topological definition of the perturbative quantum invariants of links and 3-manifolds associated with Chern-Simons field theory. Our definition is as close as pos…