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 in 1997,[1] and solved positively by Atiyah in 2000.[2][3]

See also

References
  1. 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
  2. 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
  3. 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


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.