Berry–Robbins problem

In mathematics, the Berry–Robbins problem asks whether there is a continuous map from configurations of n points in R³ to the flag manifold U(n)/Tⁿ that is compatible with the action of the symmetric group on n points. It was posed by Berry and Robbins (1997) and solved positively by Atiyah (2000).

See also

• Atiyah conjecture on configurations

References

• Berry, Michael V.; Robbins, J. M. (1997), "Indistinguishability for quantum particles: spin, statistics and the geometric phase", Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 453 (1963): 1771–1790, Bibcode:1997RSPSA.453.1771B, doi:10.1098/rspa.1997.0096, ISSN 0962-8444, MR 1469170
• Atiyah, Michael (2000), "The geometry of classical particles", Surveys in differential geometry, Surv. Differ. Geom., VII, Int. Press, Somerville, MA, pp. 1–15, MR 1919420
• Atiyah, Michael (2001), "Configurations of points", Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 359 (1784): 1375–1387, Bibcode:2001RSPTA.359.1375A, doi:10.1098/rsta.2001.0840, ISSN 1364-503X, MR 1853626