Towards a cluster structure on trigonometric zastava

Michael Finkelberg; Alexander Kuznetsov; Leonid Rybnikov; Galyna Dobrovolska

doi:10.1007/s00029-016-0287-1

Towards a cluster structure on trigonometric zastava

Michael Finkelberg^*
, Alexander Kuznetsov
, Leonid Rybnikov
, Galyna Dobrovolska

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 language	English
Pages (from-to)	187-225
Number of pages	39
Journal	Selecta Mathematica, New Series
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s00029-016-0287-1
State	Published - 1 Mar 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

13F60
14M15

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10.1007/s00029-016-0287-1

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Towards a cluster structure on trigonometric zastava

Abstract

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Keywords

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