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nLab > Latest Changes: Global analytic geometry

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  1.  
    • 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).

  6. The link to Frédéric Paugam’s lecture notes titled “Global analytic geometry and the functional equation” no longer works anymore.

    Anonymouse

    diff, v35, current

  7. found and updated the lecture notes “Global analytic geometry and the functional equation”

    Anonymouse

    diff, v35, current

1 to 7 of 7

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