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Semi-infinite Schubert varieties and quantum $K$-theory of flag manifolds

2014
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Journal of The American Mathematical Society
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Theorem 1.5. Assume that g is simply laced. Then the functions J α satisfy the following recursive relation: Here β → β * stands for the natural isomorphism between the coroot lattice of g and its root lattice. The equation (1.3) appears in [14] , where the authors show that (1.3) holds precisely if and only if the generating function of the J α 's is an eigen-function of the above-mentioned quantum difference Toda system. Thus, Theorem 1.5 and the main result of [14] imply the following. 1 In

doi:10.1090/s0894-0347-2014-00797-9
fatcat:3xvrovlzyrcxjjznqt5qptndxy