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Regular version of the site

Article

Towards a cluster structure on trigonometric zastava

Selecta Mathematica, New Series. 2018. Vol. 24. No. 1. P. 187-225.

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.