Multitriangulations and tropical Pfaffians

• Luis Crespo Ruiz ^[1] ; Francisco Santos ^[1]
  1. [1] Universidad de Cantabria

     Universidad de Cantabria

     Santander, España

     
• Localización: Discrete Mathematics Days 2022 / Luis Felipe Tabera Alonso (ed. lit.), 2022, ISBN 978-84-19024-02-2, págs. 104-109
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The k-asociahedron is a simplicial complex whose facets correspond to k-triangulationsof the n-gon, known to be homeomorphic to a sphere of dimension k(n − 2k − 1) − 1 andconjectured to be polytopal by Jonsson, among others. (The case or k = 1 is the classicalassociahedron of dimension n − 4). We show that it can be obtained by intersecting thetropical variety of Pfaffians with the orthant of “four-point positive” weights. We hope thisto be a step towards realizing it as a polytope.