Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature

Häftad, Engelska, 2025

Del i serien Memoirs of the American Mathematical Society

981 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Produktinformation

Utgivningsdatum:2025-08-31
Format:Häftad
Språk:Engelska
Serie:Memoirs of the American Mathematical Society
Antal sidor:145
Förlag:American Mathematical Society
ISBN:9781470473174

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

Mer om författaren

Paolo Piazza, Sapienza Universita Di Roma, Italy, Thomas Schick, Georg-August Universitat Gottingen, Germany.Vito Felice Zenobi, Instituto Nazionale di Alta Matematica, Roma, Italy.

Innehållsförteckning

Chapters1. Introduction2. The relation between the structure algebra $D^*(\widetilde {M})^\Gamma $ and $\mathrm {\Psi }^0_\Gamma (\widetilde {M})$3. Rho classes4. Non-commutative de Rham homology and Chern characters5. Pseudodifferential operators and smooth subalgebras6. Mapping analytic surgery to homology7. Higher rho numbers associated to elements in $HC^* (\mathbb {C}\Gamma ,\langle x \rangle )$8. Higher rho numbers from relative cohomology $H^*(M\to B\Gamma )$9. Delocalized higher Atiyah-Patodi-Singer indices10. The space of metrics of positive scalar curvature and higher rho-invariants11. Naturality for the action by the diffeomorphism group12. The role of real K-theory13. Geometric applications of delocalized cyclic cohomology14. Geometric applications of relative cohomology15. Geometric applications: A topological approach16. Concluding remarks