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)
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Mathematical PhysicsVolume
337Issue
3Pages
1255 - 1274Citation
SCHOEBEL, K. and VESELOV, A.P., 2015. Separation coordinates, moduli spaces and Stasheff polytopes. Communications in Mathematical Physics, 337 (3), pp.1255-1274.Publisher
© Springer VerlagVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2014-10-13Publication date
2015-03-05Notes
The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-015-2332-xISSN
0010-3616eISSN
1432-0916Publisher version
Language
- en