TY - JOUR
T1 - Krichever maps, FaĆ di Bruno polynomials, and cohomology in KP theory
JF - Lett. Math. Phys. 42 (1997) 349-361
Y1 - 1997
A1 - Gregorio Falqui
A1 - Cesare Reina
A1 - Alessandro Zampa
AB - We study the geometrical meaning of the Faa\\\' di Bruno polynomials in the context of KP theory. They provide a basis in a subspace W of the universal Grassmannian associated to the KP hierarchy. When W comes from geometrical data via the Krichever map, the Faa\\\' di Bruno recursion relation turns out to be the cocycle condition for (the Welters hypercohomology group describing) the deformations of the dynamical line bundle on the spectral curve together with the meromorphic sections which give rise to the Krichever map. Starting from this, one sees that the whole KP hierarchy has a similar cohomological meaning.
PB - Springer
UR - http://hdl.handle.net/1963/3539
U1 - 1162
U2 - Mathematics
U3 - Mathematical Physics
ER -