55 citations · 160 across the 26 of their papers we have counts for
25 papers
Invariants of weakly successively almost positive links
Tetsuya Ito, Alexander Stoimenow
As an extension of positive and almost positive diagrams and links, we study two classes of links we call successively almost positive and weakly successively almost positive links…
Everywhere Equivalent 3-Braids
Alexander Stoimenow
A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of…
Conduct and Correctness in Mathematical Publishing
Alexander Stoimenow
"We risk sliding down toward the standards where the validity of action is decided by whether one can get away with it." (P. Doty) "We do not 'risk' sliding down toward such standa…
Exchange moves and braid representations of links
Reiko Shinjo, Alexander Stoimenow
We prove that under fairly general conditions an iterated exchange move gives infinitely many non-conjugate braids. As a consequence, every knot has infinitely many conjugacy class…
Genus generators and the positivity of the signature
Alexander Stoimenow
It is a conjecture that the signature of a positive link is bounded below by an increasing function of its negated Euler characteristic. In relation to this conjecture, we apply th…
The density of Lawrence-Krammer and non-conjugate braid representations of links
Alexander Stoimenow
We use some Lie group theory and Budney's unitarization of the Lawrence-Krammer representation, to prove that for generic parameters of definite form the image of the representatio…