Involutions whose top dimensional component of the fixed point set is indecomposable

DOI10.1007/s10711-009-9419-5zbMath1206.57040OpenAlexW2077062407MaRDI QIDQ976823

Pedro L. Q. Pergher

Publication date: 16 June 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9419-5

zbMATH Keywords

involutionStiefel-Whitney classprojective space bundlesplitting principlecharacteristic numberindecomposable manifold

Mathematics Subject Classification ID

(mathrm{O})- and (mathrm{SO})-cobordism (57R75) Equivariant cobordism (57R85)

Related Items

Involutions fixing \(F^n \cup F^3\) ⋮ An improvement of the five halves theorem of J. Boardman

Cites Work

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• \(Z_2^k\)-actions fixing \(\mathbb R P^2 \cup \mathbb RP^{\text{even}}\)
• Involutions and characteristic numbers
• Involutions fixing \(\mathbb RP^j\cup \mathbf F^n\). II
• Involutions fixing \({\mathbb R P^j}\cup F^n\)
• Fibring within a cobordism class
• Two commuting involutions fixing \(F^n \cup F^{n-1}\)
• Involutions fixing \(F^{n} \cup F^{2}\)
• Dimensions of fixed point sets of involutions
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Quelques propriétés globales des variétés différentiables
• Characteristic Classes and Homogeneous Spaces, I
• BOUNDS ON THE DIMENSION OF MANIFOLDS WITH INVOLUTION FIXING Fⁿ ∪ F²
• Cobordism of involutions revisited, revisited
• On manifolds with involution
• Immersions and Embeddings Up to Cobordism
• Involutions fixing (point) \(\smile F^n\)