7 papers
Higher Alexander Polynomials of Satellite Links
Soheil Azarpendar, Colin McCulloch
We present formulas for the higher Alexander polynomials of satellite links.
Chainmail links, Dehn surgery number and
Soheil Azarpendar
Liu and Piccirillo developed a combinatorial argument that employs the 10/8-theorem to demonstrate that certain manifolds cannot be obtained via Dehn surgery on a knot. We extend t…
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…
Twisting and stabilization in knot Floer homology
Soheil Azarpendar
Let be the result of applying full twists to parallel strands in a knot . We prove that extremal knot Floer homologies of stabilize as goes to infinity.
Negative definite spin filling and branched double covers
Soheil Azarpendar
We investigate the negative definite spin fillings of branched double covers of alternating knots. We derive some obstructions for the existence of such fillings and find a charact…
Lower bounds for the chromatic number of certain Kneser-type hypergraphs
Soheil Azarpendar, Amir Jafari
Let , , and be integers and be a partition of with for . Also, let b…
On some topological and combinatorial lower bounds on chromatic number of Kneser type hyper graphs
Soheil Azarpendar, Amir Jafari
In this paper, we prove a generalization of a conjecture of Erdös, about the chromatic number of certain Kneser-type hypergraphs. For integers with and $2\le s\…