Equivariant Lefschetz and Fuller indices via topological intersection theory

DOI10.1016/j.topol.2014.11.001zbMath1310.55006arXiv1307.5783OpenAlexW2964144588MaRDI QIDQ484271

Philipp Wruck

Publication date: 6 January 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5783

zbMATH Keywords

equivariant mapsThom spacesPoincaré dualityequivariant fixed point theoryequivariant Fuller indexequivariant Lefschetz numberIntersection product

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Periodic orbits of vector fields and flows (37C27) Fixed points and coincidences in algebraic topology (55M20) Homology with local coefficients, equivariant cohomology (55N25) Intersection homology and cohomology in algebraic topology (55N33)

Cites Work

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• Fixed-orbit indices. I
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• Equivariant Lefschetz classes
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• Transformation groups
• Equivariant Poincaré duality
• Generalizing the fixed point index
• The Fuller index and global Hopf bifurcation
• Fixed orbit index for equivariant maps.
• Axioms for the equivariant Lefschetz number and for the Reidemeister trace
• Genericity in equivariant dynamical systems and equivariant Fuller index theory
• An Index of Fixed Point Type for Periodic Orbits
• Equivariant orientation theory

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