Surgery and the Spinorial τ-Invariant

DOI10.1080/03605300902769204zbMath1183.53041arXiv0710.5673OpenAlexW1979077784MaRDI QIDQ3653269

Bernd Ammann, Mattias Dahl, Emmanuel Humbert

Publication date: 22 December 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5673

zbMATH Keywords

eigenvalueDirac operatorspectral boundspin manifoldsurgeryYamabe invariantspin bordismjoining manifolds

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Surgery and handlebodies (57R65) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items

\(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces, Relations between threshold constants for Yamabe type bordism invariants

Cites Work

• A spinorial analogue of Aubin's inequality
• Surgery and harmonic spinors
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Eigenvalue bounds for the Dirac operator
• Scalar curvature of a metric with unit volume
• The topology of 4-manifolds
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Harmonic spinors
• The spinorial τ-invariant and 0-dimensional surgery
• Elliptic Partial Differential Equations of Second Order
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