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arXiv · 2608.23431

Makhlin polytopes are Demazure string polytopes

Ghislain Fourier
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Abstract

We show that Makhlin's polytopes in type $B_n$ are unimodularly equivalent to string polytopes for Demazure modules in type $B_{2n-1}$. The proof passes through type $C$, combining Makhlin's diagonal comparison with symplectic FFLV polytopes and the $B/C$ similarity for string cones.

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Ghislain Fourier. 2026-08-24. Makhlin polytopes are Demazure string polytopes. https://arxiv.org/abs/2608.23431

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