Residues formulas for the push-forward in K-theory, the case of G2/P

Andrzej Weber; Magdalena Zielenkiewicz

Residues formulas for the push-forward in K-theory, the case of G2/P

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arxiv 1711.05949 v2 pith:HUQSJ5UR submitted 2017-11-16 math.RT math.AG

Andrzej Weber , Magdalena Zielenkiewicz This is my paper · ORCID

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keywords formulaformulask-theorypush-forwardcaseclassicalgrassmannianhomogeneous

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We study residue formulas for push-forward in K-theory of homogeneous spaces. First we review formulas for classical groups, which we derive from a formula for the classical Grassmannian case. Next we consider the homogeneous spaces for G2. One of them embeds in the Grassmannian Gr(2,7). We find its fundamental class in the equivariant K-theory and obtain the residue formula for the push-forward. This formula is valid for G2/B as well.

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