Exotic seven-spheres with Sage

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Niles

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Feb 8, 2012, 7:51:29 AM2/8/12
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Hello Sage-marketers!

I've recently finished a second animation project with Sage, and I
thought some of you might be interested. This is based on my first
project showing the Hopf fibration, but this time we look at the 7-
sphere fibered by the 3-sphere over the 4-sphere. This is the
dimension in which Milnor first constructed exotic differentiable
structures, and the video gives a way of visualizing the difference
between standard and exotic 7-spheres.

The introductory slides were produced with beamer, but the rest of the
video was produced with Sage! I was invited to show this video during
the recent Abel prize conference in celebration of Milnor's work -- I
hope this was some good publicity for Sage :)

Here's the youtube link:

http://www.youtube.com/watch?v=II-maE5HEj0

And here's my website, with some further details:

http://www.nilesjohnson.net/seven-manifolds

best,
Niles

Harald Schilly

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Feb 8, 2012, 8:05:19 AM2/8/12
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Hi, cool stuff!!

On Wed, Feb 8, 2012 at 13:51, Niles <nil...@gmail.com> wrote:
> I've recently finished a second animation project with Sage

https://plus.google.com/u/0/b/113421169347512599264/113421169347512599264/posts/aByWpzYw3Wh
https://www.facebook.com/permalink.php?story_fbid=435335274945&id=26593144945

H

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