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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeSep 19th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexstub for [[modular functor]]

   stub for modular functor

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeSep 20th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexIsn'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.

   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.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 20th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexThat'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.

   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.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 15th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added to _[[modular functor]]_ a few definitions and propositions from [Segal 04, section 5](http://ncatlab.org/nlab/show/modular+functor#Segal04)

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

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMay 16th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer for the claim that the values of a modular functor at [[genus of a surface|genus]]=0 (ie. the [[conformal blocks]] on the punctured [[Riemann sphere]]) determine the full modular functor: * [[Jørgen Ellegaard Andersen]], [[Kenji Ueno]], *Modular functors are determined by their genus zero data*, Quantum Topology **3** 3/4 (2012) 255-291 $[$[doi:10.4171/QT/29](https://doi.org/10.4171/qt/29)$]$ <a href="https://ncatlab.org/nlab/revision/diff/modular+functor/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/modular+functor/20">v20</a>, <a href="https://ncatlab.org/nlab/show/modular+functor">current</a>

   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:

   • Jørgen Ellegaard Andersen, Kenji Ueno, Modular functors are determined by their genus zero data, Quantum Topology 3 3/4 (2012) 255-291 $[$doi:10.4171/QT/29$]$

   diff, v20, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJun 7th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/modular+functor#RelationToGenusZeroConformalBlocks)) brief mentioning of the result that (rational) modular functors are fully determined by the genus-zero conformal blocks <a href="https://ncatlab.org/nlab/revision/diff/modular+functor/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/modular+functor/21">v21</a>, <a href="https://ncatlab.org/nlab/show/modular+functor">current</a>

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

   diff, v21, current

7. • CommentRowNumber7.
   • CommentAuthorDmitri Pavlov
   • CommentTimeMay 5th 2023
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded a PDF link for Segal's paper on modular functors. <a href="https://ncatlab.org/nlab/revision/diff/modular+functor/26">diff</a>, <a href="https://ncatlab.org/nlab/revision/modular+functor/26">v26</a>, <a href="https://ncatlab.org/nlab/show/modular+functor">current</a>

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

   diff, v26, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeDec 4th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Adrien Brochier]], [[Lukas Woike]]: *A Classification of Modular Functors via Factorization Homology* &lbrack;[arXiv:2212.11259](https://arxiv.org/abs/2212.11259)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/modular+functor/29">diff</a>, <a href="https://ncatlab.org/nlab/revision/modular+functor/29">v29</a>, <a href="https://ncatlab.org/nlab/show/modular+functor">current</a>

   added pointer to:

   • Adrien Brochier, Lukas Woike: A Classification of Modular Functors via Factorization Homology [arXiv:2212.11259]

   diff, v29, current