Link mutations and Goeritz matrices
arXiv:1712.02428
Abstract
Extending theorems of J. E. Greene [Invent. Math. 192 (2013), 717-750] and A. S. Lipson [Enseign. Math. (2) 36 (1990), 93-114], we prove that the equivalence class of a classical link L under mutation is determined by Goeritz matrices associated to diagrams of L.
v1: 25 pages, 21 figures v2: 25 pages, 21 figures. minor improvements in exposition v3: 25 pages, 21 figures. minor improvements in exposition. v4: 27 pages, 22 figures. several improvements