$(Z_{2})^{k}$-actions whose fixed data has a section

DOI10.1090/S0002-9947-00-02645-3zbMath0964.57033OpenAlexW1750420114MaRDI QIDQ4510029

Pedro L. Q. Pergher

Publication date: 19 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02645-3

zbMATH Keywords

representationfixed dataprojective space bundlebordism classSmith homomorphism\(((Z_{2})^{k}\((Z_{2})^{k}\)-actionq)\)-manifold-bundleStong's exact sequence

Mathematics Subject Classification ID

Finite transformation groups (57S17) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Equivariant cobordism (57R85)

Related Items

\(Z_2^k\)-actions fixing \(\mathbb R P^2 \cup \mathbb RP^{\text{even}}\) ⋮ \(\mathbb{Z}_2^k\)-actions with connected fixed point set ⋮ Two commuting involutions fixing \(RP_1(2m + 1) \cup RP_2(2m + 1)\) ⋮ $Z_2^2$-actions with $n$-dimensional fixed point set ⋮ \(Z_2^k\)-actions fixing \(K_dP^{2^s}\cup K_dP^{even}\)

Cites Work

• Involutions and characteristic numbers
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• Involutions fixing projective spaces
• Bordism and involutions
• Equivariant bordism and \((Z_ 2)^ k\) actions
• An Equivariant Construction
• Bordism of two commuting involutions
• Manifolds with ( Z 2 ) k -Action
• (Z₂)^k-Actions Fixing a Product of Spheres and a Point
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