The spinorial τ-invariant and 0-dimensional surgery

DOI10.1515/CRELLE.2008.079zbMath1158.53040arXivmath/0607716MaRDI QIDQ3542080

Emmanuel Humbert, Bernd Ammann

Publication date: 27 November 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607716

zbMATH Keywords

Dirac operatorcompact connected Riemannian spin manifold

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Eta-invariants, Chern-Simons invariants (58J28) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (2)

Relations between threshold constants for Yamabe type bordism invariants ⋮ Surgery and the Spinorial τ-Invariant

Cites Work

• Dirac eigenvalue estimates on surfaces
• Lower eigenvalue estimates for Dirac operators
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Scalar curvature of a metric with unit volume
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Harmonic spinors on Riemann surfaces
• Yamabe invariants and \(\text{spin}^c\) structures
• Generic metrics and connections on spin- and \(\text{spin}^c\)-manifolds
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Harmonic spinors
• Constant scalar curvature metrics on connected sums
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• Surgery and the Yamabe invariant
• The first conformal Dirac eigenvalue on 2-dimensional tori
• Surgery and equivariant Yamabe invariant
• Yamabe metrics on cylindrical manifolds

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