Shifted edge labeled tableaux and localizations
Colleen Robichaux

TL;DR
This paper establishes combinatorial formulas for specific localization coefficients in the Anderson-Fulton ring, linking them to the equivariant cohomology of isotropic Grassmannians, advancing understanding in algebraic geometry.
Contribution
It provides the first combinatorial description for certain structure coefficients of the Anderson-Fulton ring related to isotropic Grassmannians.
Findings
Derived combinatorial rules for localization coefficients
Connected algebraic structures to geometric cohomology
Extended conjectural rules to new cases
Abstract
We prove cases of a conjectural rule of H. Yadav, A. Yong, and the author for structure coefficients of the D. Anderson-W. Fulton ring. In particular, we give a combinatorial description for certain localization coefficients of this ring, which is related to the equivariant cohomology of isotropic Grassmannians.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications
