\((Z_ 2)^ k\)-actions with fixed point set of constant codimension

DOI10.1016/0166-8641(92)90039-3zbMath0778.57017OpenAlexW2053427668WikidataQ128108677 ScholiaQ128108677MaRDI QIDQ1191874

Pedro L. Q. Pergher

Publication date: 27 September 1992

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90039-3

zbMATH Keywords

fixed point setideals of cobordism classesmanifolds which admit \(k\) commuting involutions

Mathematics Subject Classification ID

Finite transformation groups (57S17) Equivariant cobordism (57R85)

Related Items (7)

\((\mathbb Z^2)^k\)-actions with fixed point set of constant codimension \(2^k+2v+1\) ⋮ \((\mathbb Z_2)^k\)-actions with fixed point set of constant codimension \(2^k+8^1\) ⋮ \(({\mathbb Z}_2)^k\)-actions and the minimal data of the normal bundle ⋮ Constant Codimension Fixed Sets of Commuting Involutions ⋮ \((\mathbb{Z}_2)^k\)-actions with disconnected fixed point set ⋮ Commuting involutions with fixed point set of constant codimension ⋮ \((\mathbb{Z}_2)^k\)-actions with fixed point set of constant codimension \(2^k+2\)

Cites Work

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• Cobordism classes represented by fiberings with fiber \(\mathbb{R} P(2k+1)\)
• Fibring within a cobordism class
• Bordism and involutions
• Equivariant bordism and \((Z_ 2)^ k\) actions
• Involutions with Fixed Point Set of Constant Codimension
• Manifolds with Involution Whose Fixed Set has Codimension Four
• Manifolds with ( Z 2 ) k -Action
• On Fibering of Cobordism Classes

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