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arXiv · 1308.2632

Polynomials for GL_p x GL_q orbit closures in the flag variety

Benjamin J. Wyser·Alexander Yong
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Abstract

The subgroup K=GL_p x GL_q of GL_{p+q} acts on the (complex) flag variety GL_{p+q}/B with finitely many orbits. We introduce a family of polynomials that specializes to representatives for cohomology classes of the orbit closures in the Borel model. We define and study K-orbit determinantal ideals to support the geometric naturality of these representatives. Using a modification of these ideals, we describe an analogy between two local singularity measures: the H-polynomials and the Kazhdan-Lusztig-Vogan polynomials.

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BibTeXRIS

Benjamin J. Wyser, Alexander Yong. 2013-08-12. Polynomials for GL_p x GL_q orbit closures in the flag variety. https://arxiv.org/abs/1308.2632

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