Multiplicity-free Hamiltonian actions need not be Kähler

Details Multiplicity-free Hamiltonian actions need not be Kähler Multiplicity-free Hamiltonian actions need not be Kähler

1995-06-22

arxiv.org/abs/dg-ga/9506009v1

Mathematics

Differential Geometry

LaTeX using epic, eepic. 10 pages, 4 figures

Scientific paper

We show that Tolman's example (of a six dimensional Hamiltonian $T^2$-space with isolated fixed points and no compatible K\"{a}hler structure) can be constructed from the flag variety $U(3)/U(1)^3$ by $U(2)$-equivariant symplectic surgery. This implies that Tolman's space has a ``transversal multiplicity-free'' action of $U(2)$ and that Delzant's theorem ``every compact multiplicity-free torus action is K\"{a}hler'' \cite{D1} does not generalize to non-abelian actions.

Affiliated with

Also associated with

No associations

Rating

Multiplicity-free Hamiltonian actions need not be Kähler does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiplicity-free Hamiltonian actions need not be Kähler, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicity-free Hamiltonian actions need not be Kähler will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-292949