Lectures on families of Dirac operators and applications

DOI10.1090/PSPUM/109/02000MaRDI QIDQ6630213

Francesco Lin

Publication date: 30 October 2024

zbMATH Keywords

Dirac operatorindex theoremWeinstein conjecture

Mathematics Subject Classification ID

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Cites Work

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• Spin and scalar curvature in the presence of a fundamental group. I
• The topology of 4-manifolds
• The Atiyah-Singer index theorem
• The quantum theory of the electron. I.
• Harmonic spinors
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• The Seiberg-Witten equations and the Weinstein conjecture
• Index theory for skew-adjoint Fredholm operators
• The index of elliptic operators. IV, V
• Homotopical Topology
• Lectures on monopole Floer homology
• Characteristic Classes. (AM-76)
• Spectral asymmetry and Riemannian geometry. III
• Introduction to Riemannian Manifolds
• Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions
• Heegaard Floer Homology
• Introductory Lectures on Equivariant Cohomology
• The index of elliptic operators on compact manifolds
• Taubes’s proof of the Weinstein conjecture in dimension three
• Lectures on symplectic geometry

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