On dimensions supporting a rational projective plane

DOI10.1142/S1793525319500237zbMath1432.57056arXiv1702.07892OpenAlexW2593011695MaRDI QIDQ5242900

Lee Kennard, Zhixu Su

Publication date: 7 November 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07892

zbMATH Keywords

characteristic classesrational projective planesHattori-Stong integrality conditionsHirzebruch signature equationrational surgery realization

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Surgery and handlebodies (57R65) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Surgery obstructions, Wall groups (57R67)

Related Items (3)

Cohomogeneity one manifolds with singly generated rational cohomology ⋮ Mini-workshop: Almost complex geometry. Abstracts from the mini-workshop held October 4--10, 2020 (online meeting) ⋮ Spin\({}^h\) and further generalisations of spin

Cites Work

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• Smooth manifolds with prescribed rational cohomology ring
• Rational analogs of projective planes
• On the non-existence of elements of Hopf invariant one
• Infinitesimal computations in topology
• Applications of a recurrence for the Bernoulli numbers
• Characteristic Classes. (AM-76)
• $\Lambda $-sphères
• Structures différentiables sur les types d'homotopie rationnelle simplement connexes
• The factorization of cyclic reduced powers by secondary cohomology operations
• On Homotopy Spheres Bounding Highly Connected Manifolds
• Some Congruences for the Bernoulli Numbers
• A note on Bernoulli numbers

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