Towards a cluster structure on trigonometric zastava

Michael Finkelberg, Alexander Kuznetsov, Leonid Rybnikov, Galyna Dobrovolska

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We study a moduli problem on a nodal curve of arithmetic genus 1, whose solution is an open subscheme in the zastava space for projective line. This moduli space is equipped with a natural Poisson structure, and we compute it in a natural coordinate system. We compare this Poisson structure with the trigonometric Poisson structure on the transversal slices in an affine flag variety. We conjecture that certain generalized minors give rise to a cluster structure on the trigonometric zastava.

Original languageEnglish
Pages (from-to)187-225
Number of pages39
JournalSelecta Mathematica, New Series
Volume24
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018

Keywords

  • 13F60
  • 14M15

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