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Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space

Algebraic Topology 2018-12-24 v1 Differential Geometry

Abstract

We present a version of the equivariant gradient degree defined for equivariant gradient perturbations of an equivariant unbounded self-adjoint operator with purely discrete spectrum in Hilbert space. Two possible applications are discussed.

Keywords

Cite

@article{arxiv.1812.08844,
  title  = {Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space},
  author = {Piotr Bartłomiejczyk and Bartosz Kamedulski and Piotr Nowak-Przygodzki},
  journal= {arXiv preprint arXiv:1812.08844},
  year   = {2018}
}

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13 pages