Timeline for Geometrically quantizing real Grassmannians

10 events

when toggle format	what		by	license	comment
S Jan 28, 2018 at 11:41	history	suggested	Ali Taghavi		I add two tags.
Jan 28, 2018 at 10:46	review	Suggested edits
S Jan 28, 2018 at 11:41
Jan 15, 2018 at 16:16	comment	added	Tobias Diez		On a slightly different note, it is quite remarkable that the picture you draw also generalize to "non-linear" Grassmannians, i.e. the infinite-dimensional space of all codimension 2 submanifolds. In this case, one can determine a lattice of integral symplectic forms and the prequantum construction gives central extensions of the group of volume-preserving diffeomorphisms. See arxiv.org/abs/math/0305089v1 for more details.
Jan 15, 2018 at 2:36	answer	added	Francois Ziegler		timeline score: 1
Jan 15, 2018 at 2:26	history	edited	John Baez	CC BY-SA 3.0	added 1 character in body
Jan 15, 2018 at 1:50	answer	added	user17945		timeline score: 2
Jan 14, 2018 at 10:46	comment	added	abx		In fact $\operatorname{Gr}(n,2) $ is isomorphic to the complex quadric $Q_{n-2}$ in $\mathbb{P}^{n-1}_{\mathbb{C}}$.
Jan 14, 2018 at 10:01	answer	added	Ben McKay		timeline score: 7
Jan 14, 2018 at 9:30	comment	added	Ben McKay		I recall learning that these Grassmannians are Kaehler from Domingo Toledo about 2 decades ago, but I might not be remembering correctly. I think that Cartan's structure equations for the action of the special orthogonal group (method of the moving frame) make it clear how to write out the Kaehler form.
Jan 14, 2018 at 7:08	history	asked	John Baez	CC BY-SA 3.0