Free involutions on \(S ^{1} \times S ^{n }\)

DOI10.1007/s00208-010-0599-yzbMath1229.57031OpenAlexW1970230221MaRDI QIDQ641856

Bjørn Jahren, Slawomir Kwasik

Publication date: 25 October 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0599-y

zbMATH Keywords

conjugacy classsurgeryquotient manifoldfree involution

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homotopy equivalences in algebraic topology (55P10) Surgery obstructions, Wall groups (57R67)

Related Items

Non-singular Morse–Smale flows on n-manifolds with attractor–repeller dynamics ⋮ On the cardinality of the manifold set ⋮ On a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor ⋮ On a class of topological conjugacy with a homothety ⋮ Classification of ``real Bloch-bundles: topological quantum systems of type AI ⋮ The additivity of the \(\rho \)-invariant and periodicity in topological surgery ⋮ Free and Properly Discontinuous Actions of Groups on Homotopy 2n-spheres ⋮ FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS ⋮ Self-homeomorphisms and degree \(\pm 1\) self-maps on lens spaces ⋮ Constructions of exotic actions on product manifolds with an asymmetric factor ⋮ Cohomology algebra of orbit spaces of free involutions on some Wall manifolds ⋮ Zero sets of equivariant maps from products of spheres to Euclidean spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The homotopy of spaces of maps between real projective spaces
• A composition formula for manifold structures
• Classification of free involutions on surfaces
• A splitting theorem for manifolds
• On s-cobordisms of metacyclic prism manifolds
• On Siebenmann periodicity
• Fixed point free involutions on homotopy spheres
• Three-dimensional surgery theory, UNil-groups and the Borel conjecture.
• The surgery obstruction groups of the infinite dihedral group
• Manifolds homotopy equivalent to \(P^{n} \# P^{n}\)
• On the calculation of UNil
• Wall's surgery obstruction groups for GxZ
• Mappings of manifolds and the notion of degree
• Manifolds homotopy equivalent to $RP^4 \# RP^4$
• Manifolds with π 1 = G x α T
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Involutions on S 1 × S 2 and other 3-Manifolds