559 citations · 1.2k across the 37 of their papers we have counts for
4 papers · 1 filter
Lecture notes on quantum cohomology of the flag manifold
Sergey Fomin
This is an exposition of some recent developments related to the object in the title, particularly the combinatorial computation of the (genus 0) Gromov-Witten invariants of the fl…
Total positivity: tests and parametrizations
Sergey Fomin, Andrei Zelevinsky
An introduction to total positivity (TP), with the emphasis on efficient TP criteria and parametrizations of TP matrices. Intended for general mathematical audience.
Finite posets and Ferrers shapes
Thomas Britz, Sergey Fomin
A survey on the Greene-Kleitman correspondence, with complete proofs, many of which are new.
Stratified spaces formed by totally positive varieties
Sergey Fomin, Michael Shapiro
By a theorem of A.Björner, for every interval in the Bruhat order of a Coxeter group , there exists a stratified space whose strata are labeled by the elements of $[u,v]…