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In [MO], a Yangian module structure was introduced on \\oplus_{|\\lambda|=n} H^*_T(T^*F_\\lambda). We identify this Yangian module structure with the Yangian module structure introduced in [GRTV]. This identifies the operators of quantum multiplication by divisors on H^*_T(T^*F_\\lambda), described in [MO], with the action of the dynamical Hamiltonians from [TV2, MTV1, GRTV]. 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Varchenko, R. Rimanyi, V. Tarasov","submitted_at":"2012-12-26T19:59:22Z","abstract_excerpt":"We consider the cotangent bundle T^*F_\\lambda of a GL_n partial flag variety, \\lambda = (\\lambda_1,...,\\lambda_N), |\\lambda|=\\sum_i\\lambda_i=n, and the torus T=(C^*)^{n+1} equivariant cohomology H^*_T(T^*F_\\lambda). In [MO], a Yangian module structure was introduced on \\oplus_{|\\lambda|=n} H^*_T(T^*F_\\lambda). We identify this Yangian module structure with the Yangian module structure introduced in [GRTV]. This identifies the operators of quantum multiplication by divisors on H^*_T(T^*F_\\lambda), described in [MO], with the action of the dynamical Hamiltonians from [TV2, MTV1, GRTV]. 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