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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2011

    stub for modular functor

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeSep 20th 2011

    Isn’t it just about a chiral part of CFT and not the whole CFT as in the entry ? For you it is a trivial distinction but for us who never learned it properly making this kind of distinction would be helpful.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 20th 2011

    That’s right, yes. Of course you can tensor the modular functors for the two chiral pieces. I have added a brief remark now.

    I am not claiming that what I wrote gives more than the rough idea. I should expand it one day.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 15th 2014

    I have added to modular functor a few definitions and propositions from Segal 04, section 5

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 16th 2022

    added this pointer for the claim that the values of a modular functor at genus=0 (ie. the conformal blocks on the punctured Riemann sphere) determine the full modular functor:

    diff, v20, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 7th 2022

    added (here) brief mentioning of the result that (rational) modular functors are fully determined by the genus-zero conformal blocks

    diff, v21, current

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 5th 2023

    Added a PDF link for Segal’s paper on modular functors.

    diff, v26, current