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Positivity in equivariant Schubert calculus

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arxiv math/9908172 v1 pith:QYPJJFWF submitted 1999-08-31 math.AG math.RT

classification math.AGmath.RT
keywords equivariantpositivitycohomologygeneralresulttheoremactionscalculus
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We prove a conjecture of Dale Peterson on positivity in the multiplication in the T-equivariant cohomology of the flag variety. The theorem follows from a more general positivity result about the equivariant cohomology of varieties with actions of a solvable group with finitely many orbits. This more general result is an equivariant version of a theorem of Kumar and Nori.

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Cited by 2 Pith papers

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    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

  2. Hall induction for cotangent representations and wheel conditions

    math.RT 2025-12 conditional novelty 6.0 of 10

    For cotangent representations of reductive groups with a suitable torus, Borel-Moore homology of the zero fiber is torsion free and the K-theoretic restriction satisfies wheel-type ideal divisibility conditions.

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