Cohomological, Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of Sato Grassmannian

B. G. Konopelchenko, G. Ortenzi

Cohomological and Poisson structures associated with the special tautological subbundles $T{B}_{W_{1,2,\dots ,n}}$ for the Birkhoff strata of Sato Grassmannian are considered. It is s…