4 papers · 1 filter
Quantum braid Floer homology
Cristina Ana-Maria Anghel, András Juhász
Given a braid whose closure is a knot, we associate to it a doubly pointed Heegaard diagram with additional marked points that we call a quantum Heegaard diagram. This is obtained…
On Fox's trapezoidal conjecture
Soheil Azarpendar, András Juhász, Tamás Kálmán
We investigate Fox's trapezoidal conjecture for alternating links. We show that it holds for diagrammatic Murasugi sums of special alternating links, where all sums involved have l…
Examples of topologically unknotted tori
András Juhász, Mark Powell
We show that certain smooth tori with group in have exteriors with standard equivariant intersection forms, and so are topologically unknotted. These include the…
New invariants for virtual knots via spanning surfaces
András Juhász, Louis H. Kauffman, Eiji Ogasa
We define three different types of spanning surfaces for knots in thickened surfaces. We use these to introduce new Seifert matrices, Alexander-type polynomials, genera, and a sign…