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arXiv · 1711.05949

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

Andrzej Weber·Magdalena Zielenkiewicz
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Abstract

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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BibTeXRIS

Andrzej Weber, Magdalena Zielenkiewicz. 2017-11-16. Residues formulas for the push-forward in K-theory, the case of G2/P. https://arxiv.org/abs/1711.05949

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