On q-deformed gl(l+1)-Whittaker function II
Abstract
A representation of a specialization of a q-deformed class one lattice gl(+1-Whittaker function in terms of cohomology groups of line bundles on the space QMd(P) of quasi-maps P1 to P of degree d is proposed. For =1, this provides an interpretation of non-specialized q-deformed gl(2)-Whittaker function in terms of QMd(1). In particular the (q-version of) Mellin-Barnes representation of gl(2)-Whittaker function is realized as a semi-infinite period map. The explicit form of the period map manifests an important role of q-version of Gamma-function as a substitute of topological genus in semi-infinite geometry. A relation with Givental-Lee universal solution (J-function) of q-deformed gl(2)-Toda chain is also discussed.
0