@article{4135194589804bbf951759fe56fcd6d2,
title = "Local ADHM construction and holomorphic local vector bundles on the twistor space",
abstract = "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.",
keywords = "ADHM theory, Homomorphic vector bundles, Penrose transform, Twistors, Ward transformation, Yang-Mills equations",
author = "Partha Guha",
note = "Funding Information: The author is grateful to Prof. Simon Donaldson for suggesting and guiding to solve this problem. He is also grateful to Professors Nigel Hitchin and Peter Kronheimer for their critical remarks and helpful suggestion, and to Professors Roger Penrose and Lionel Mason for explaining many things about Penrose tranform. Most of the work has been done in Oxford and it is supported by British Council. The author is grateful to MPI for their kind hospitality which helped him to finish the final part of the work.",
year = "1997",
month = dec,
doi = "10.1016/S0393-0440(96)00049-6",
language = "British English",
volume = "24",
pages = "20--36",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier B.V.",
number = "1",
}