Staeckel-Stasheff-CMP2014corrected.pdf (464.08 kB)
Download file

Separation coordinates, moduli spaces and Stasheff polytopes

Download (464.08 kB)
journal contribution
posted on 12.03.2015, 12:18 authored by K. Schoebel, Alexander VeselovAlexander Veselov
We 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 Physics

Volume

337

Issue

3

Pages

1255 - 1274

Citation

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 Verlag

Version

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

13/10/2014

Publication date

2015-03-05

Notes

The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-015-2332-x

ISSN

0010-3616

eISSN

1432-0916

Language

en