On the Rational Homotopy Lie Algebra of a Fixed Point Set of a Torus Action

DOI10.2307/2000537zbMath0602.55007OpenAlexW4240430934MaRDI QIDQ3738258

Volker Puppe, Christopher Allday

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000537

zbMATH Keywords

minimal modelstorus actionsrational homotopyminimal presentationQuillen modelrational homotopy Lie algebra

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Graded Lie (super)algebras (17B70) Equivariant homotopy theory in algebraic topology (55P91) Equivariant homotopy groups (55Q91)

Related Items (1)

The homotopy fixed point set of Lie group actions on elliptic spaces

Cites Work

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• Transformation groups on cohomology product of spheres
• Deformations of algebras and cohomology of fixed point sets
• On the rational homotopy of fixed point sets of torus actions
• Algèbres connexes et homologie des espaces de lacets
• Minimal models in homotopy theory
• On the number of relations in the cohomology of a fixed point set
• Infinitesimal computations in topology
• Cohomology of fixed point sets and deformation of algebras
• Rational homotopy theory
• Rational L.-S. Category and Its Applications

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