T. Mattman

activity

19992011

most citedOn the Harary-Kauffman Conjecture and Turk's Head Knots

9 citations · 30 across the 10 of their papers we have counts for

collaborators

Showing 2011 · math.GTShow all

2 papers · 2 filters

math.GT2011★ 3 cited

Tangle sums and factorization of A-polynomials

Masaharu Ishikawa, Thomas W. Mattman, Koya Shimokawa

We show that there exist infinitely many examples of pairs of knots, K_1 and K_2, that have no epimorphism $π_{1} (S^{3} ∖ K_{1}) \to π_{1} (S^{3} ∖ K_{2})$ preserving peripheral s…

math.GT2011★ 6 cited

The $A$ -polynomial of the $(- 2, 3, 3 + 2 n)$ pretzel knots

Stavros Garoufalidis, Thomas W. Mattman

We show that the A-polynomial $A_{n}$ of the 1-parameter family of pretzel knots $K_{n} = (- 2, 3, 3 + 2 n)$ satisfies a linear recursion relation of order 4 with explicit constant coefficient…

Tangle sums and factorization of A-polynomials

The A-polynomial of the (−2,3,3+2n) pretzel knots

The $A$ -polynomial of the $(- 2, 3, 3 + 2 n)$ pretzel knots