Positive Populations

Vadim Schechtman and Alexander Varchenko

Journal of Singularities
volume 20 (2020), 342-370

Received: 13 May 2020. Received in revised form: 3 October 2020

DOI: 10.5427/jsing.2020.20p

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Abstract:

A positive structure on the varieties of critical points of master functions for KZ equations is introduced. It comes as a combination of the ideas from classical works by G. Lusztig and a previous work by E. Mukhin and the second named author.


2010 Mathematical Subject Classification:

13F60 (14M15, 82B23)


Key words and phrases:

Totally positive matrices, Whitney-Lusztig charts, Wronskian differential equation, Wronski map, master functions, Bethe cells, positive populations


Author(s) information:

Vadim Schechtman Alexander Varchenko
Institut de Mathématiques de Toulouse Department of Mathematics
Université Paul Sabatier University of North Carolina at Chapel Hill
118 Route de Narbonne Chapel Hill, NC 27599-3250, USA
31062 Toulouse, France and
Faculty of Mathematics and Mechanics
Lomonosov Moscow State University
Leninskiye Gory 1
119991 Moscow GSP-1, Russia
email: schechtman@math.ups-tlse.fr email: anv@email.unc.edu