\(J\)-holomorphic curves and Dirac-harmonic maps

DOI10.1016/j.difgeo.2019.101587zbMath1436.53031arXiv1908.02275OpenAlexW2998255078WikidataQ115354850 ScholiaQ115354850MaRDI QIDQ2304649

Mark J. D. Hamilton

Publication date: 13 March 2020

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

Full work available at URL: https://arxiv.org/abs/1908.02275

zbMATH Keywords

Kähler manifold\(J\)-holomorphic curveDirac-harmonic map

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Spin and Spin({}^c) geometry (53C27) Pseudoholomorphic curves (32Q65)

Cites Work

• Dirac-harmonic maps from index theory
• A structure theorem of Dirac-harmonic maps between spheres
• Dirac-harmonic maps
• The Dirac spectrum
• Some explicit constructions of Dirac-harmonic maps
• Topological sigma models
• A note on the uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds
• Regularity of solutions of the nonlinear sigma model with gravitino
• Dirac-harmonic maps between Riemann surfaces
• Harmonic spinors
• Some examples of Dirac-harmonic maps
• Transversality for holomorphic supercurves
• Compactness for holomorphic supercurves
• Regularity theorems and energy identities for Dirac-harmonic maps
• Dirac-harmonic maps with torsion
• Holomorphic supercurves and supersymmetric sigma models
• Liouville theorems for Dirac-harmonic maps
• Gromov-Witten theory via Kuranishi structures
• Riemann surfaces and spin structures
• Harmonic Mappings of Riemannian Manifolds
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