Skip to main content
4 events
when toggle format what by license comment
Sep 26, 2013 at 12:02 comment added rita @Misha: the map that switches factors is antisymplectic, since $dx\wedge dy$ goes to $dy\wedge dx$.
Sep 26, 2013 at 6:40 comment added Misha Verbitsky the map which switches two factors is symplectic, and we need antisymplectic
Sep 25, 2013 at 21:38 comment added Will Sawin What about the map $T \times T \to T \times T$ that switches the two factors? One can't always write the original torus as a product of the subtorus and the quotient torus. However you can do this up to $2$-torsion so $Sym^2(T)$ is the only counterexample.
Sep 25, 2013 at 14:21 history answered Misha Verbitsky CC BY-SA 3.0