On the Space of Symmetric Operators with Multiple Ground States
Algebraic Topology
2011-10-14 v2 Mathematical Physics
math.MP
Abstract
We study homological structure of the filtrations of the spaces of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional complex or real Hilbert space but infinite dimensional generalizations are easily guessed.
Keywords
Cite
@article{arxiv.1107.3010,
title = {On the Space of Symmetric Operators with Multiple Ground States},
author = {Andrei Agrachev},
journal= {arXiv preprint arXiv:1107.3010},
year = {2011}
}