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• CommentRowNumber1.
• CommentAuthorfpaugam
• CommentTimeFeb 29th 2012

I added two new important references on global analytic geometry, also due to Poineau. He shows there that the sheaf of analytic functions is coherent. This is an interesting fundamental result.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeFeb 29th 2012

Thanks!

Just so that people have the link: it’s global analytic geometry.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeNov 10th 2014

I have been touching some entries that Frederic Paugam has been writing these days:

So far I just touched the formatting and the cross-linking a little.

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeNov 11th 2014

Can you see how these entries may be made to fit with your cohesive approach to geometry?

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeNov 11th 2014
• (edited Nov 11th 2014)

I am looking into it. Just talked with Frederic about it. I don’t know yet if there is cohesion.

But Frederic explained to me that to make the complex-analytic universal Chern-Simons line 3-bundle (or any other) globally analytic, what one has to do is precisely to define its complex-analytic cocycle relative to a cover of strict polydiscs, of radius 1 and no other radius, as here.

That is the key application that I would want global analytic cohesion for.

I’ll look into this when I have a moment of leisure (this might take a bit).

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