On the Space of Symmetric Operators with Multiple Ground States

Details On the Space of Symmetric Operators with Multiple Ground States On the Space of Symmetric Operators with Multiple Ground States

2011-07-15

arxiv.org/abs/1107.3010v2

Mathematics

Algebraic Topology

Scientific paper

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.

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