Twistors, Self-Duality, and Spinᶜ Structures

The fact that every compact oriented 4-manifold admits spinᶜ structures was proved long ago by Hirzebruch and Hopf. However, the usual proof is neither direct nor transparent. This article gives a new proof using twistor spaces that is simpler and more geometric. After using these ideas to clarify v...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Author: LeBrun, Claude
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211425
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Twistors, Self-Duality, and Spinᶜ Structures. Claude LeBrun. SIGMA 17 (2021), 102, 11 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine