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• W2091634135 abstract "Abstract We calculate equivariant elliptic cohomology of the partial flag variety $def xmlpi #1{}def mathsfbi #1{boldsymbol {mathsf {#1}}}let le =leqslant let leq =leqslant let ge =geqslant let geq =geqslant def Pr {mathit {Pr}}def Fr {mathit {Fr}}def Rey {mathit {Re}}G/H$ , where $Hsubseteq G$ are compact connected Lie groups of equal rank. We identify the ${rm RO}(G)$ -graded coefficients ${mathcal{E}} ll_G^*$ as powers of Looijenga’s line bundle and prove that transfer along the map $$begin{equation*} pi ,{:},G/Hlongrightarrow {rm pt} end{equation*}$$ is calculated by the Weyl–Kac character formula. Treating ordinary cohomology, $K$ -theory and elliptic cohomology in parallel, this paper organizes the theoretical framework for the elliptic Schubert calculus of [N. Ganter and A. Ram, Elliptic Schubert calculus , in preparation]." @default.
• W2091634135 created "2016-06-24" @default.
• W2091634135 creator A5002809001 @default.
• W2091634135 date "2014-05-12" @default.
• W2091634135 modified "2023-09-26" @default.
• W2091634135 title "The elliptic Weyl character formula" @default.
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• W2091634135 doi "https://doi.org/10.1112/s0010437x1300777x" @default.
• W2091634135 hasPublicationYear "2014" @default.
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