New bounds on the toral rank with applications to cohomologically symplectic spaces

DOI10.1007/s00031-019-09525-8zbMath1441.55006arXiv1711.02901OpenAlexW2963484933WikidataQ128027762 ScholiaQ128027762MaRDI QIDQ2183728

Leopold Zoller

Publication date: 27 May 2020

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02901

zbMATH Keywords

torus actionequivariant cohomologysymplectic manifoldfinite CW-complextoral rank conjectureBoij-Söderberg theoryBorel fibrationc-symplectic space

Mathematics Subject Classification ID

General topology of complexes (57Q05) Equivariant algebraic topology of manifolds (57R91) Symplectic and contact topology in high or arbitrary dimension (57R17) Equivariant homology and cohomology in algebraic topology (55N91) Compact groups of homeomorphisms (57S10)

Cites Work

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• Multiplicative Aspects of the Halperin-Carlsson Conjecture
• Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group
• The Geometry of Syzygies
• Free torus actions and two-stage spaces
• On almost free torus actions and Horrocks conjecture

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