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math.FA2025
On the Uniqueness of the -Equivariant Spectral Flow
Marek Izydorek, Joanna Janczewska, Maciej Starostka +1
The spectral flow is an integer-valued homotopy invariant for paths of selfadjoint Fredholm operators. Lesch as well as Pejsachowicz, Fitzpatrick and Ciriza independently showed th…
math.FA2023
The Equivariant Spectral Flow and Bifurcation for Functionals with Symmetries -- Part I
Marek Izydorek, Joanna Janczewska, Maciej Starostka +1
We consider bifurcation of critical points from a trivial branch for families of functionals that are invariant under the orthogonal action of a compact Lie group. Based on a recen…
math.FA2019
On a Comparison Principle and the Uniqueness of Spectral Flow
Maciej Starostka, Nils Waterstraat
The spectral flow is a well-known quantity in spectral theory that measures the variation of spectra about along paths of selfadjoint Fredholm operators. The aim of this work i…