Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Hochs, Peter, Wang, Hang
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211920
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps. Peter Hochs and Hang Wang. SIGMA 19 (2023), 023, 32 pages

We consider a complete Riemannian manifold, which consists of a compact interior and one or more 𝜑-cusps: infinitely long ends of a type that includes cylindrical ends and hyperbolic cusps. Here, 𝜑 is a function of the radial coordinate that describes the shape of such an end. Given an action by a c...