14/02/2012, 10:30 — 11:30 — Sala P4.35, Pavilhão de Matemática
Rosa Sena Dias, CAMGSD/IST
Hyperkähler manifolds - II
Hypertoric manifolds are dimensional hyperkähler manifolds
admiting a tri-hamiltonian action. We describe a
construction of such manifolds as quotients of
by subtori of . This construction mimics Delzant's
construction of toric Kahler manifolds as quotients of
by subtori of . We will discuss
relations between the two constructions and explain how to use the
hyperkahler version to give a description of the hyperkähler
metric in hyper action-angle coordinates.
Main reference: R. Bielawski and
A. Dancer, The geometry and topology of toric hyperkähler
manifolds
Ver também
https://www.math.tecnico.ulisboa.pt/~jmourao/ws/HK.pdf