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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:

• 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