REVIEW 1 cited by
Multiplicity-free Hamiltonian actions need not be K\"ahler
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
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.
Forward citations
Cited by 1 Pith paper
-
Collective superintegrable systems from the Guillemin--Sternberg torus action
Collective Hamiltonians of any Hamiltonian action of a compact semisimple Lie group form a superintegrable system, with action variables given by the Guillemin-Sternberg torus momentum map.
Discussion (0). Continue with ORCID to comment.