Notes on the vector adelic Grassmannian

Abstract

These are notes about the connection between the Gibbons-Hermsen system and the multi-component KP hierarchy: they were intended as a first sketch of a paper on that subject, but since it seems unlikely that I will ever write such a paper I have decided to make them available in their present form. The notes were compiled in 2009, and have not been revised since then.

References in corpus (1)

• On the symplectic structure of instanton moduli spaces

Cited by in corpus (5)

• On a family of quivers related to the Gibbons-Hermsen system
• Superintegrability of Calogero-Moser systems associated with the cyclic quiver
• Bispectrality of $N$-Component KP Wave Functions: A Study in Non-Commutativity
• Integrable systems on multiplicative quiver varieties from cyclic quivers
• Application of the reflection functor to integrable systems on quiver varieties