5 citations · 6 across the 6 of their papers we have counts for
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Localization theorems by symplectic cuts
Lisa Jeffrey, Mikhail Kogan
Given a compact symplectic manifold M with the Hamiltonian action of a torus T, let zero be a regular value of the moment map, and M_0 the symplectic reduction at zero. Denote by κ…
Morse theory on Hamiltonian G-spaces and equivariant K-theory
Victor Guillemin, Mikhail Kogan
Let be a torus and a compact Hamiltonian -manifold with finite fixed point set . If is a circle subgroup of with , the -moment map is a Morse fu…
Mirkovic-Vilonen cycles and polytopes in type A
Jared E. Anderson, Mikhail Kogan
We study, in type A, the algebraic cycles (MV-cycles) discovered by I. Mirković and K. Vilonen [MV]. In particular, we partition the loop Grassmannian into smooth pieces such that…
Toric degeneration of Schubert varieties and Gel'fand-Cetlin polytopes
Mikhail Kogan, Ezra Miller
This note constructs the flat toric degeneration of the manifold FL_n of flags in C^n from [Gonciulea-Lakshmibai 96] as an explicit GIT quotient of the Gr"obner degeneration in [Kn…