3 papers
math.SP2020
Degenerate band edges in periodic quantum graphs
Gregory Berkolaiko, Minh Kha
Edges of bands of continuous spectrum of periodic structures arise as maxima and minima of the dispersion relation of their Floquet--Bloch transform. It is often assumed that the e…
math.SP2019
Liouville-Riemann-Roch theorems on abelian coverings
Minh Kha, Peter Kuchment
The classical Riemann-Roch theorem has been extended by N. Nadirashvili and then M. Gromov and M. Shubin to computing indices of elliptic operators on compact (as well as non-compa…
math.AP2018
Polynomial-like elements in vector spaces with group actions
Minh Kha, Vladimir Lin
In this paper, we study polynomial-like elements in vector spaces equipped with group actions. We first define these elements via iterated difference operators. In the case of a fu…