Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Authors: Hochs, Peter, Wang, Hang
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211920
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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 -cusps: infinitely long ends of a type that includes cylindrical ends and hyperbolic cusps. Here, is a function of the radial coordinate that describes the shape of such an end. Given an action by a com...