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    • CommentRowNumber1.
    • CommentAuthoradeelkh
    • CommentTimeJan 5th 2015

    Created the page semi-topological K-theory.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 5th 2015
    • (edited Jan 6th 2015)

    Thanks for this!

    Semitopological K-theory smells like it must be related to the discussion of K-theory in the differential cohomology hexagon here, following Bunke-Nikolaus-Völkl. There one also considers K-theory sheaves, then forms their 1\mathbb{R}^1-localization (shape modality Π\Pi!) and finds topological K-theory.

    In fact what is discussed there very much smells like it wants to be a sheaf over a product of geometries modeled on 1\mathbb{R}^1 and on 𝔸 1\mathbb{A}^1 as in differential algebraic K-theory, which makes the conceptual similarity to semitopoligical K-theory even stronger.

    • CommentRowNumber3.
    • CommentAuthoradeelkh
    • CommentTimeJan 6th 2015

    Interesting, thanks for the pointer! I will have to take a look at BNV.

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