Topological Quantum Field Theory Seminar   RSS

19/12/2002, 13:30 — 14:30 — Room P3.10, Mathematics Building
João Baptista, Cambridge University

Vortex dynamics on the sphere

I will first give a brief overview of the Bogomolny equations for vortices, their moduli space of solutions, and the method of geodesic approximation. In the case of N vortices on a sphere of radius R2 >N this moduli space is C PN , but the geodesic method cannot be directly applied, because the solutions of the Bogomolny equations are not known explicitly. I will then try to show how to circumvent this problem in the limit where R2 is close to N.


  1. J. M. Baptista and N. S. Manton, The dynamics of vortices on S2 near the Bradlow limit, hep-th/0208001.
  2. T. M. Samols, Vortex Scattering, Commun. Math. Phys. 145, 149 (1992).

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Current organizers: José MourãoRoger Picken, Marko Stošić


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.