The Topology of Compact Lie Group Actions Through the Lens of Finite Models

DOI10.1093/imrn/rnx294zbMath1454.55013arXiv1511.08948OpenAlexW3098963476WikidataQ115272889 ScholiaQ115272889MaRDI QIDQ5206105

Stefan Papadima, Alexander I. Suciu

Publication date: 18 December 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08948

zbMATH Keywords

Sasakian manifoldscohomology jump loci\(q\)-formal spacesalgebraic models for spacesfiltered-formal fundamental groups

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Rational homotopy theory (55P62) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Graded Lie (super)algebras (17B70) Homotopy theory and fundamental groups in algebraic geometry (14F35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (8)

Cohomology, Bocksteins, and resonance varieties in characteristic 2 ⋮ Formality and finiteness in rational homotopy theory ⋮ Almost-formality and deformations of representations of the fundamental groups of Sasakian manifolds ⋮ Poincaré duality and resonance varieties ⋮ RANK TWO TOPOLOGICAL AND INFINITESIMAL EMBEDDED JUMP LOCI OF QUASI-PROJECTIVE MANIFOLDS ⋮ Cohomology jump loci of 3-manifolds ⋮ Formality properties of finitely generated groups and Lie algebras ⋮ Infinitesimal finiteness obstructions

This page was built for publication: The Topology of Compact Lie Group Actions Through the Lens of Finite Models