Local ADHM construction and holomorphic local vector bundles on the twistor space

✍ Scribed by Partha Guha

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 760 KB
• Volume: 24
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(96)00049-6

✦ Synopsis

Local ADHM theory has been discussed; after making some general remarks about Penrose transform and methods of monad, we construct holomorphic vector bundles on the neighbourhood of a projective line in the twistor space. By inverse Ward transformation this corresponds to local solution space of self-dual Yang-Mills equation. In the final section we discuss some possible applications of this theorem.