Staeckel-Stasheff-CMP2014corrected.pdf (464.08 kB)
Download fileSeparation coordinates, moduli spaces and Stasheff polytopes
journal contribution
posted on 2015-03-12, 12:18 authored by K. Schoebel, Alexander VeselovAlexander VeselovWe show that the orthogonal separation coordinates on the sphere S n are naturally parametrised by the real version of the Deligne–Mumford–Knudsen moduli space M¯0,n+2(R) of stable curves of genus zero with n + 2 marked points. We use the combinatorics of Stasheff polytopes tessellating M¯0,n+2(R) to classify the different canonical forms of separation coordinates and deduce an explicit construction of separation coordinates, as well as of Stäckel systems from the mosaic operad structure on M¯0,n+2(R)
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