Timeline for Classification of symplectic resolutions

7 events

when toggle format	what		by	license	comment
May 13, 2020 at 23:32	vote	accept	Yellow Pig
May 13, 2020 at 23:32	vote	accept	Yellow Pig
May 13, 2020 at 23:32
May 12, 2020 at 2:16	comment	added	Hiraku Nakajima		On 3), I do not think that this is a well-defined question unless one specify what `explicit descriptions' means. Besides mathematically proved statements, Hanany and his collaborators identify many Coulomb branches with nilpotent orbits and Slodowy slices.
May 12, 2020 at 2:09	comment	added	Hiraku Nakajima		(cont'd.) In Lemma 6.9 in arxiv.org/pdf/1601.03586.pdf, it was shown that only type A,D simple singularities appear in the two dimensional case. Therefore type E simple singularities do not appear as a Coulomb branch. Since minimal nilpotent orbits and simple singularities are believed to be symplectic dual, this is compatible with the belief above.
May 12, 2020 at 2:07	comment	added	Hiraku Nakajima		On 2), Coulomb branch is conical with respect to a certain standard choice of $\mathbb C^\times$-action if and only if the gauge theory is good or ugly. See e.g, Section 3 of arxiv.org/pdf/1510.03908.pdf. There is a belief that instanton moduli spaces for exceptional groups (e.g., minimal nilpotent orbits for exceptional groups) cannot be realized as a hamiltonian reduction of a symplectic vector space.
May 4, 2020 at 13:49	vote	accept	Yellow Pig
May 13, 2020 at 23:32
May 1, 2020 at 19:06	history	answered	Yellow Pig	CC BY-SA 4.0