20 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
7 papers
The Gordon-Litherland pairing for links in thickened surfaces
Hans U. Boden, Micah Chrisman, Homayun Karimi
We extend the Gordon-Litherland pairing to links in thickened surfaces, and use it to define signature, determinant, and nullity invariants for links that bound (unoriented) spanni…
1--Meixner random vectors
Aurel I. Stan, Florin Catrina
A definition of --dimensional --Meixner random vectors is given first. This definition involves the commutators of their semi--quantum operators. After that we will focus on…
Milnor's concordance invariants for knots on surfaces
Micah Chrisman
Milnor's -invariants of links in the -sphere vanish on any link concordant to a boundary link. In particular, they are trivial on any knot in . Here we conside…
Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients
Ahmed Ghatasheh, Rudi Weikard
In this paper we investigate sign-changing points of nontrivial real-valued solutions of homogeneous Sturm-Liouville differential equations of the form , where $dα…
Virtual concordance and the generalized Alexander polynomial
Hans U. Boden, Micah Chrisman
We use the Bar-Natan Zh-correspondence to identify the generalized Alexander polynomial of a virtual knot with the Alexander polynomial of a two component welded link. We show that…
Spectral Theory for Systems of Ordinary Differential Equations with Distributional Coefficients
Ahmed Ghatasheh, Rudi Weikard
We study the spectral theory for the first-order system of differential equations on the real interval when is a constant, invertible skew-Hermitian matrix…
Signature and concordance of virtual knots
Hans U. Boden, Micah Chrisman, Robin Gaudreau
We introduce Tristram-Levine signatures of virtual knots and use them to investigate virtual knot concordance. The signatures are defined first for almost classical knots, which ar…