Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry

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dc.contributor.authorLeitner, Felipe
dc.date.accessioned2025-12-25T13:23:24Z
dc.date.issued2021
dc.description.abstractWe study Kohn-Dirac operators 𝐷θ on strictly pseudoconvex CR manifolds with spinℂ structure of weight ℓ ∈ ℤ. Certain components of 𝐷θ are CR invariants. We also derive CR invariant twistor operators of weight ℓ. Harmonic spinors correspond to cohomology classes of some twisted Kohn-Rossi complex. Applying a Schrödinger-Lichnerowicz-type formula, we prove vanishing theorems for harmonic spinors and (twisted) Kohn-Rossi groups. We also derive obstructions to positive Webster curvature.
dc.description.sponsorshipI would like to thank the referees for their helpful comments.
dc.identifier.citationInvariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry. Felipe Leitner. SIGMA 17 (2021), 011, 25 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.011
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 32V05; 53C27; 58J50; 32L20
dc.identifier.otherarXiv:2102.02477
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211177
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleInvariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік