The paper proves that a dimension-parity condition on maximal isotropy subgroups captures the algebraic obstruction to non-trivial equivariant degree change, enabling local and global bifurcation guarantees via mod-2 spectral flow without Burnside ring arithmetic.
Lauterbach,Equivariant Bifurcation and Absolute Irreducibility inR 8 : A Contribu- tion to Ize Conjecture and Related Bifurcations, J Dyn Diff Equat 27, 841–861 (2015)
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The Ize Conjecture Redux: A Parity Criterion for Global Equivariant Bifurcation Guarantees
The paper proves that a dimension-parity condition on maximal isotropy subgroups captures the algebraic obstruction to non-trivial equivariant degree change, enabling local and global bifurcation guarantees via mod-2 spectral flow without Burnside ring arithmetic.