Adjacent Connected Sums and Torus Actions

DOI10.2307/1998691zbMath0428.57013OpenAlexW4255976527MaRDI QIDQ3865169

Dennis McGavran

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998691

zbMATH Keywords

adjacent connected sumtorus action on closed, simply connected manifolds

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Triangulating manifolds (57Q15) Compact groups of homeomorphisms (57S10) Triangulating (57R05)

Related Items (19)

LS-category of moment-angle manifolds and higher order Massey products ⋮ The topology of moment-angle manifolds -- on a conjecture of S. Gitler and S. López de Medrano ⋮ On the moment-angle manifold constructed by Fan, Chen, Ma and Wang ⋮ Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes ⋮ Samuel Gitler and the topology of intersections of quadrics ⋮ The geometry and topology of stationary multiaxisymmetric vacuum black holes in higher dimensions ⋮ Double cohomology of moment-angle complexes ⋮ Topology of moment-angle manifolds arising from flag nestohedra ⋮ Zoo of monotone Lagrangians in \(\mathbb{C}P^n\) ⋮ On the graph products of simplicial groups and connected Hopf algebras ⋮ Intersections of quadrics, moment-angle manifolds and connected sums ⋮ The loop space homotopy type of simply-connected four-manifolds and their generalizations ⋮ On higher Massey products and rational formality for moment-angle manifolds over multiwedges ⋮ Moment-angle manifolds and connected sums of sphere products ⋮ Stanley-Reisner rings of generalized truncation polytopes and their moment-angle manifolds ⋮ Moore's conjecture for polyhedral products ⋮ Polyhedral products for connected sums of simplicial complexes ⋮ One-relator groups and algebras related to polyhedral products ⋮ Toric objects associated with the dodecahedron

Cites Work

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• Knotted (4k-1)-spheres in 6k-space
• Torus group actions on simply connected manifolds
• \(T^n\)-actions on simply connected \((n+2)\)-manifolds
• Isotropy subgroups of torus T\(^n\)-actions on (n+2)-manifolds
• Simply connected five-manifolds
• Classification problems in differential topology. V: On certain 6- manifolds
• Action of torus T\(^n\) on (n + 1)-manifolds M\(^{n+1}\)
• Characteristic Classes. (AM-76)
• T 3 -Actions on Simply Connected 6-Manifolds. I
• Classification of the Actions of the Circle on 3-Manifolds
• Actions of the Torus on 4-Manifolds. I

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