2 papers
math.FA2024
The Spectral Flow of a Restriction to a Subspace and the Maslov Indices in a Symplectic Reduction
Henrique Vitório
We give a simple proof of a known formula that relates the spectral flow of a continuous path of quadratic forms of Fredholm type with the spectral flow of the restrictions of the…
math.CA2023
Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level
Henrique Vitório
We develop appropriate notions of Maslov index and spectral flow for electromagnetic geodesics within a fixed energy level and prove a Morse Index type theorem in this context. Thi…