Rohlin invariants, integrality of some spectral invariants and bordism of spin diffeomorphisms

DOI10.1016/0166-8641(90)90062-7zbMath0717.57019OpenAlexW2074260242MaRDI QIDQ2638613

Thomas G. Fischer, Matthias Kreck

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90062-7

zbMATH Keywords

Spin bordismbordism classes of orientation preserving diffeomorphismsRohlin invariant of a Spin manifold of dimension \(8k+3\)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other types of cobordism (57R90) Differential topological aspects of diffeomorphisms (57R50)

Related Items (1)

Dependence on the spin structure of the eta and Rokhlin invariants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Signature related invariants of manifolds. I. Monodromy and \(\gamma\)- invariants
• Global gravitational anomalies
• Some invariants of spin manifolds
• Non-additivity of the signature
• Quadratic functions, the index modulo 8, and a Z/4-Hirzebruch formula
• Classification problems in differential topology. II: Diffeomorphisms of handlebodies
• COHOMOLOGY RINGS, LINKING FORMS AND INVARIANTS OF SPIN STRUCTURES OF THREE-DIMENSIONAL MANIFOLDS
• Rochlin invariants, theta multipliers and holonomy
• Signature modulo 16, invariants de Kervaire généralisés et nombres caractéristiques dans la $K$-théorie réelle
• Spectral asymmetry and Riemannian Geometry. I
• Bordism of diffeomorphisms
• On the Inertia Group of π-Manifolds

This page was built for publication: Rohlin invariants, integrality of some spectral invariants and bordism of spin diffeomorphisms