14 citations · 28 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
Matroids, motives and conjecture of Kontsevich
Prakash Belkale, Patrick Brosnan
Let G be a finite connected graph. The Kirchhoff polynomial of G is a certain homogeneous polynomial whose degree is equal to the first betti number of G. These polynomials appear…