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Holomorphic bundles and many-body systems

โœ Scribed by Nikita Nekrasov


Publisher
Springer
Year
1996
Tongue
English
Weight
766 KB
Volume
180
Category
Article
ISSN
0010-3616

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For a complex manifold X which has a holomorphic form of odd degree k, we endow E a = p a ( p,0) (X ) with a Higgs bundle structure ฮธ given by ฮธ(Z )(ฯ†) := {i(Z ) } โˆง ฯ†. The properties such as curvature and stability of these and other Higgs bundles are examined. We prove (Theorem 2, Section 2, for k

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A method has been developed for obtaining equivalent linear two-body ELTB equations for the system of many N bosons using the variational principle. The method has been applied to the one-dimensional N-body problem with pair-wise ลฝ . ลฝ . contact interactions McGurie-Yang N-body problem and to the di