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Creators/Authors contains: "Singh, Rahul"

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  1. ; (, Experimental Mathematics)
    Free, publicly-accessible full text available March 10, 2026
  2. ; ; ; ; ; (, ACM)
    Free, publicly-accessible full text available March 1, 2026
  3. ; ; ; ; ; ; ; (, IEEE)
    Free, publicly-accessible full text available April 6, 2026
  4. ; ; (, Advances in Mathematics)
    Abstract. The Peterson variety is a subvariety of the flag manifold G/B equipped with an action of a one-dimensional torus, and a torus invariant paving by affine cells, called Peterson cells. We prove that the equivariant pull-backs of Schubert classes indexed by arbitrary Coxeter elements are dual (up to an intersection multiplicity) to the fundamental classes of Peterson cell closures. Dividing these classes by the intersec- tion multiplicities yields a Z-basis for the equivariant cohomology of the Peterson variety. We prove several properties of this basis, including a Graham positivity property for its structure constants, and stability with respect to inclusion in a larger Peterson variety. We also find for- mulae for intersection multiplicities with Peterson classes. This explains geometrically, in arbitrary Lie type, recent positivity statements proved in type A by Goldin and Gorbutt. 
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  5. ; ; ; (, IEEE/ACM Transactions on Networking)
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  6. ; ; ; ; (, IEEE/ACM Transactions on Networking)
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  7. ; ; ; ; ; ; (, Molecular Therapy - Nucleic Acids)
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  8. ; ; ; ; ; (, IEEE)
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  9. ; (, Algebraic Geometry)
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  10. ; ; (, IEEE)
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