Introduces framed turbulence charts as a common generalization of framed DAGs and gentle algebras, with results on presentations, subdivisions, and triangulations of their unit flow polyhedra that recover the known cases.
Sketch of a Proof of an Intriguing Conjecture of Karola Meszaros and Alejandro Morales Regarding the Volume of the $D_n$ Analog of the Chan-Robbins-Yuen Polytope (Or: The Morris-Selberg Constant Term Identity Strikes Again!)
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abstract
Using the Morris-Selberg Constant Term Identity, I sketch a proof of a recent conjecture by Karola Meszaros and Alejandro Morales, that I believe could be easily made fully rigorous by a sufficiently skilled and, sufficiently interested, analyst. This conjecture is an analog to the root system $D_n$ of a conjecture made in 1998 by Clara Chan, the late David P. Robbins, and David Yuen, that I proved immediately after, also using the Morris identity.
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math.CO 1years
2026 1verdicts
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On the Common Generalization of Gentle Algebras and Framed Directed Acyclic Graphs
Introduces framed turbulence charts as a common generalization of framed DAGs and gentle algebras, with results on presentations, subdivisions, and triangulations of their unit flow polyhedra that recover the known cases.