From the 1 of 5 linked papers with an AI index.
5 papers
Many-point tropical relaxation and the Monge--Ampère equation
Nikita Kalinin, Ernesto Lupercio, Higinio Serrano +1
The authors develop a tropical approximation scheme for the planar Aleksandrov Monge‑Ampère equation using concave tropical series defined by point clouds, and prove that the scale…
Magnetic Equivariant Graded Brauer Group
Higinio Serrano, Bernardo Uribe
Given a magnetic finite group, we consider the similarity classes of magnetic equivariant central simple graded algebras over the complex numbers. We call this set the magnetic equ…
Magnetic Equivariant K-theory
Higinio Serrano, Bernardo Uribe, Miguel A. Xicoténcatl
We present the fundamental properties of the K-theory groups of complex vector bundles endowed with actions of magnetic groups. In this work we show that the magnetic equivariant K…
Rational magnetic equivariant K-theory
Higinio Serrano, Bernardo Uribe, Miguel A. Xicoténcatl
We introduce the magnetic equivariant K-theory groups as the K-theory groups associated to magnetic groups and their respective magnetic equivariant complex bundles. We restrict th…
Spin Chern number in altermagnets
Rafael Gonzalez-Hernandez, Higinio Serrano, Bernardo Uribe
This work explores the topological properties of altermagnets, a novel class of collinear magnetic materials. We employ equivariant K-theory of magnetic groups and Hamiltonian mode…