---
res:
  bibo_abstract:
  - Using the notion of a root datum of a reductive group $G$ we propose a tropical
    analogue of a principal $G$-bundle on a metric graph. We focus on the case $G=\mathrm{GL}_n$,
    i.e. the case of vector bundles. Here we give a characterization of vector bundles
    in terms of multidivisors and use this description to prove analogues of the Weil--Riemann--Roch
    theorem and the Narasimhan--Seshadri correspondence. We proceed by studying the
    process of tropicalization. In particular, we show that the non-Archimedean skeleton
    of the moduli space of semistable vector bundles on a Tate curve is isomorphic
    to a certain component of the moduli space of semistable tropical vector bundles
    on its dual metric graph.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Andreas
      foaf_name: Gross, Andreas
      foaf_surname: Gross
  - foaf_Person:
      foaf_givenName: Martin
      foaf_name: Ulirsch, Martin
      foaf_surname: Ulirsch
      foaf_workInfoHomepage: http://www.librecat.org/personId=114697
  - foaf_Person:
      foaf_givenName: Dmitry
      foaf_name: Zakharov, Dmitry
      foaf_surname: Zakharov
  bibo_doi: 10.1016/j.aim.2022.108775
  dct_date: 2022^xs_gYear
  dct_language: eng
  dct_title: 'Principal bundles on metric graphs: the $\mathrm{GL}_n$ case@'
...