Corpus ID: 119330801

Root Cones and the Resonance Arrangement.

  title={Root Cones and the Resonance Arrangement.},
  author={Samuel C. Gutekunst and Karola M{\'e}sz{\'a}ros and Tanja K. Petersen},
  journal={arXiv: Combinatorics},
  • Samuel C. Gutekunst, Karola Mészáros, Tanja K. Petersen
  • Published 2019
  • Mathematics
  • arXiv: Combinatorics
  • We study the connection between triangulations of a type $A$ root polytope and the resonance arrangement, a hyperplane arrangement that shows up in a surprising number of contexts. Despite an elementary definition for the resonance arrangement, the number of resonance chambers has only been computed up to the $n=8$ dimensional case. We focus on data structures for labeling chambers, such as sign vectors and sets of alternating trees, with an aim at better understanding the structure of the… CONTINUE READING


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