Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hi I am looking for any papers which extends the Turaev-Viro TQFT to a 3-2-1 theory (i.e. allows manifolds with corners) . I know this construction is known, but I cannot find a source. Please help.

Thanks, Ben

share|improve this question
6  
Please, enter your name in your profile instead of signing your posts... –  Ben Webster Nov 10 '09 at 5:02
1  
Ben, I don't know the answer to your question yet, but I am going to the ams sectional meeting in St. Paul, where I am looking forward to hearing the answer in the talk: Turaev-Viro Invariants as an Extended TQFT. Alexander Kirillov, Jr, Stony Brook University Benjamin Balsam*, Stony Brook University (1058-81-254) :) –  Charlie Frohman Mar 7 '10 at 19:49
add comment

2 Answers

As Charlie pointed out in comments Balsam and Kirillov were working on this, and since his comment they posted a preprint to the arxiv: http://arxiv.org/abs/1004.1533

For another point of view see Kevin Walker's notes in progress at http://canyon23.net/math/ In theory Kevin's point of view should automatically lead to a theory extended all the way down to points, but it's phrased in a different language from the usual extended field theory language.

share|improve this answer
add comment

This is a topic that people often say they're working on, but never seems to see the light of day. So, I wouldn't give much weight to off-hand statements that it's "known" --- it should be known, but talk is cheap!

There would be lots of exciting things to do with a well-presented extended Turaev-Viro model, so even if you end up duplicating other work it wouldn't matter so much, the fun would be just beginning :).

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.