Constructing the Kähler and the symplectic structures from certain spinors on 4-manifolds

DOI10.1090/S0002-9939-00-05587-8zbMath0996.53033OpenAlexW1835707712MaRDI QIDQ2701595

Yanghyun Byun, Jeong Seog Ryu, Joon-Sang Park, Yoonweon Lee

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05587-8

zbMATH Keywords

symplectic structureKähler structurespin\(^c\) structureparallel positive spinor

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Spin and Spin({}^c) geometry (53C27) Other complex differential geometry (53C56) Connections (general theory) (53C05)

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Cites Work

• Unnamed Item
• Parallel spinors and parallel forms
• Parallel and Killing spinors on \(\text{Spin}^ c\) manifolds
• Harmonic spinors
• The Seiberg-Witten invariants and symplectic forms
• Corrigenda to: Introduction to Symplectic Topology