Genericity in equivariant dynamical systems and equivariant Fuller index theory |
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Authors: | Philipp Wruck |
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Affiliation: | School of Mathematics and Statistics, University of Sheffield, Hicks Building Sheffield S3 7RH, UK |
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Abstract: | We define a notion of equivariant non-degeneracy of G-maps to introduce the class of equivariantly non-degenerate flows on smooth compact manifolds with compact Lie group action. We prove genericity of this class and use this result to construct an equivariant version of the Fuller index, which detects group orbits of periodic orbits of the flow, distinguished by their isotropy. |
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Keywords: | equivariant dynamical systems equivariant topology fixed point theory periodic orbits Fuller index |
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