On the relative \(L\)-theory and the relative signature of PL manifolds with boundary

DOI10.1016/J.GEOMPHYS.2023.105094arXiv1908.07451OpenAlexW4390532102MaRDI QIDQ6146399

Hongzhi Liu, Bingzhe Hou

Publication date: 5 February 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07451

zbMATH Keywords

relative index\(K\)-theory of \(C^{\ast}\)-algebrasrelative surgery exact sequencesignature operator on manifold with boundary

Mathematics Subject Classification ID

(K)-theory and operator algebras (19K99) Surgery obstructions ((K)-theoretic aspects) (19J25)

Related Items (1)

\(K\)-theory of relative group \(C^*\)-algebras and the relative Novikov conjecture

Cites Work

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• Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds
• Relative geometric assembly and mapping cones Part II: Chern characters and the Novikov property
• Coarse cohomology and index theory on complete Riemannian manifolds
• 𝐵_{(𝑇𝑂𝑃_{𝑛})^{∼}} and the surgery obstruction

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