On characteristic numbers of 24 dimensional string manifolds

DOI10.1007/s00209-021-02877-6zbMath1494.57052arXiv2103.11413OpenAlexW3203123386MaRDI QIDQ5918617

Fei Han, Rui Zhi Huang

Publication date: 15 March 2022

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

Full work available at URL: https://arxiv.org/abs/2103.11413

zbMATH Keywords

signature24-dimensional string manifoldsdivisibility of characteristic numbersstring cobordism

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Cites Work

• The Cayley plane and string bordism
• Cohomology mod 3 of the classifying space BF\(_4\) of thexceptional group F\(_4\)
• Pontryagin classes of locally symmetric manifolds
• \(\mathbf H\mathbf P^ 2\)-bundles and elliptic homology
• Integral invariants and cohomology of \(B\text{Spin}(n)\)
• Modular invariance and characteristic numbers
• Quadratic functions in geometry, topology, and \(M\)-theory
• The homotopy groups of Lie groups of low rank
• Classification of (n-1)-connected 2n-manifolds
• An invariant for certain smooth manifolds
• On the Index of a Fibered Manifold
• Characteristic Classes and Homogeneous Spaces, I
• Basic sets of invariant polynomials for finite reflection groups
• Spin Characteristic Classes and Reduced K Spin Group of a Low Dimensional Complex
• Mod 3 congruence and twisted signature of 24 dimensional string manifolds
• Topology of Lie groups and characteristic classes
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