9 citations · 34 across the 12 of their papers we have counts for
13 papers
Spanning solids and Murasugi sum in dimension four
Homayun Karimi, Seungwon Kim, Thomas Kindred +2
We study various constructions of spanning solids for knotted surfaces in the 4-sphere. In particular, we consider a 4-dimensional analogue of Murasugi sum, which we use to define…
Pants distances of knotted surfaces in 4-manifolds
Román Aranda, Sarah Blackwell, Devashi Gulati +4
We define a pants distance for knotted surfaces in 4-manifolds, which generalizes the complexity studied by Blair-Campisi-Taylor-Tomova for surfaces in the 4-sphere. We determine t…
Mock Seifert matrices and unoriented algebraic concordance
Hans U. Boden, Homayun Karimi
A mock Seifert matrix is an integral square matrix representing the Gordon-Litherland form of a pair , where is a knot in a thickened surface and is an unoriented sp…
On knots that divide ribbon knotted surfaces
Hans U. Boden, Ceyhun Elmacioglu, Anshul Guha +4
We define a knot to be half ribbon if it is the cross-section of a ribbon 2-knot, and observe that ribbon implies half ribbon implies slice. We introduce the half ribbon genus of a…
A deep investigation of NiO and MnO through the first principle calculations and Monte Carlo simulations
Mojtaba Alaei, Homa Karimi
In this study, we use Hubbard-Corrected density functional theory (DFT+) to derive spin model Hamiltonians consisting of Heisenberg exchange interactions up to the fourth neares…
Toric multisections and curves in rational surfaces
Gabriel Islambouli, Homayun Karimi, Peter Lambert-Cole +1
We study multisections of embedded surfaces in 4-manifolds admitting effective torus actions. We show that a simply-connected 4-manifold admits a genus one multisection if and only…