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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:

    global+analytic+index+theory, overconvergent+global+analytic+geometry

    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).