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math.DS2026
The Complex Spectral Flow: Spectral Conditions for Two-Parameter Equivariant Bifurcation Guarantees
Ziad Ghanem
We introduce the \emph{complex equivariant spectral flow} -- a virtual -representation assembling the eigenvalue winding numbers of the linearization at an isolated two-paramete…
math.DS2026
The Ize Conjecture Redux: A Parity Criterion for Global Equivariant Bifurcation Guarantees
Ziad Ghanem
The Ize Conjecture proposed that every absolutely irreducible representation of a compact Lie group admits a maximal isotropy subgroup with an odd-dimensional fixed-point space, wh…