14 citations · 109 across the 30 of their papers we have counts for
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math.AT2018★ 5 cited
Space of isospectral periodic tridiagonal matrices
Anton Ayzenberg
A periodic tridiagonal matrix is a tridiagonal matrix with additional two entries at the corners. We study the space of Hermitian periodic tridiagonal -matrice…
math.AT2018
Manifolds of isospectral matrices and Hessenberg varieties
Anton Ayzenberg, Victor Buchstaber
We study the space of Hermitian matrices having staircase form and the given simple spectrum. There is a natural action of a compact torus on this space. Using generalized To…
math.AT2018★ 14 cited
Torus actions of complexity one and their local properties
Anton Ayzenberg
We consider an effective action of a compact (n-1)-torus on a smooth 2n-manifold with isolated fixed points. We prove that under certain conditions the orbit space is a closed topo…