4 papers
New torsion patterns in Khovanov homology
Raquel Díaz, Pedro M. G. Manchón
In a previous paper by the authors, we found some patterns in link diagrams that give rise to torsion elements of order two in their Khovanov homology. In this paper we extend thes…
Braids for pretzel links
A. Del Pozo Manglano, P. M. G. Manchón
We give a general procedure that provides, given any particular pretzel link, a braid whose closure is the pretzel link. Moreover, we manage to give a specific braid word in terms…
Pretzel knots up to nine crossings
R. Díaz, P. M. G. Manchón
There are infinitely many pretzel links with the same Alexander polynomial (actually with trivial Alexander polynomial). By contrast, in this note we revisit the Jones polynomial o…
Closures of positive braids and the Morton-Franks-Williams inequality
Juan González-Meneses, Pedro M. G. Manchón
We study the Morton-Franks-Williams inequality for closures of simple braids (also known as positive permutation braids). This allows to prove, in a simple way, that the set of sim…