Jack polynomials as fractional quantum Hall states and the Betti numbers of the (k+1)-equals ideal

Christine Berkesch Zamaere, Stephen Griffeth, Steven V Sam

We show that for Jack parameter α= -(k+1)/(r-1), certain Jack polynomials studied by Feigin-Jimbo-Miwa-Mukhin vanish to order r when k+1 of the coordinates coincide. This result wa…