8 citations · 8 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
Conjugacy for positive permutation braids
Hugh R. Morton, Richard J. Hadji
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair of strings crosses at most once, form the elementary but non-trivial building bl…
Power sums and Homfly skein theory
Hugh R. Morton
The Murphy operators in the Hecke algebra H_n of type A are explicit commuting elements, whose symmetric functions are central in H_n. In [Skein theory and the Murphy operators, J.…
The Homfly polynomial of the decorated Hopf link
Hugh R. Morton, Sascha G. Lukac
The main goal is to find the Homfly polynomial of a link formed by decorating each component of the Hopf link with the closure of a directly oriented tangle. Such decorations are s…
The spread and extreme terms of Jones polynomials
Yongju Bae, H. R. Morton
We adapt Thistlethwaite's alternating tangle decomposition of a knot diagram to identify the potential extreme terms in its bracket polynomial, and give a simple combinatorial calc…