))
A form on R2 invariant under translation by lattice must comes from a form on Torus
Archived series ("Inactive feed" status)
When?
This feed was archived on December 09, 2017 16:01 (
Why? Inactive feed status. Our servers were unable to retrieve a valid podcast feed for a sustained period.
What now? You might be able to find a more up-to-date version using the search function. This series will no longer be checked for updates. If you believe this to be in error, please check if the publisher's feed link below is valid and contact support to request the feed be restored or if you have any other concerns about this.
Manage episode 185577053 series 1521141
Content provided by Random Stuffs. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Random Stuffs or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
If w is a form on R2 invariant under translation by every element of the lattice (of the Torus) then define a form t on the Torus by t_p(v_i) = w_q(x_i), where pi(q) is p and x_i are pushforward of the v_i under differential of pi (isom so uniquely defined). To check well-defined, suppose q' = q + a for a in lattice, and suppose y_i are the corresponding pushforward of v_i. Then as pi . l_a = pi, by chain rule, y_i = (l_a)* x_i. Now use the fact that w is l_a invariant.
…
continue reading
172 episodes
Share
