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\title{Subdivisions of Generalized Permutahedra}
\author[M.~Joswig, G.~Loho, D.~Luber, and J.~A.~Olarte]{Michael Joswig\addressmark{1,2}, Georg Loho\addressmark{3}, Dante Luber\addressmark{1}, \and Jorge Alberto Olarte\thanks{\href{mailto:olarte@math.tu-berlin.de}{olarte@math.tu-berlin.de}}\addressmark{1}} 
\address{%
  \addressmark{1}Technische Universität Berlin, Chair of Discrete Mathematics/Geometry\\
  \addressmark{2}Max-Planck Institute for Mathematics in the Sciences, Leipzig \\
  \addressmark{3}University of Twente}

\received{\today}

\abstract{We study valuated matroids, their tropical incidence relations, flag matroids and total positivity.
  Our techniques employ the polyhedral geometry of the hypersimplices, the regular permutahedra and their subdivisions.}

\keywords{flag matroids, total positivity, Bruhat interval polytopes}

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