14 citations · 28 across the 5 of their papers we have counts for
5 papers
Irredundance in Eigenvalue Problems
Prakash Belkale
We show the irredundancy, necessity and sufficiency of inequalities corresponding to intersections whose ``Witten Bundle'' is polyrigid for the product of unitary matrices problem.
Quantum Generalization of the Horn Conjecture
Prakash Belkale
We prove a theorem which implies a quantum (multiplicative) analogue of the Horn conjecture, and also of the saturation conjecture. We obtain transversality statements for quantum…
Periods and Igusa Zeta functions
Prakash Belkale, Patrick Brosnan
We show that coefficients in the Laurent series of Igusa Zeta functions are periods. This will be used in a subsequent paper (by P. Brosnan) to show that certain numbers occurring…
Transformation formulas in Quantum Cohomology
Prakash Belkale
The article discusses an action of the center of G on the quantum cohomology of G/P's constructed geometrically. It is shown how to recover Bertram's Quantum Schubert Calculus from…
Geometric Proofs of Horn and Saturation Conjectures
Prakash Belkale
We provide a geometric proof of the Schubert calculus interpretation of the Horn conjecture, and show how the saturation conjecture follows from it. The geometric proof gives a str…