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November 15, 2011

Chern-Simons Terms on Higher Moduli Stacks

Posted by Urs Schreiber

Tomorrow morning I will be giving a talk at the Hausdorff institute in Bonn. It will be a piece in chalk on blackboard, but for convenience I have created accompanying pdf slides:

Chern-Simons terms on higher moduli stacks .

I’d enjoy hearing whatever comment you might have.

[edit: A little later, on Dec 14, I am giving in Hamburg a more gentle introduction of the basic idea to a general audience. Again chalk on blackboard, but again with accompanying pdf slides.]

Posted at November 15, 2011 11:41 PM UTC

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5 Comments & 2 Trackbacks

Re: Chern-Simons Terms on Higher Moduli Stacks

I know it’s a board talk, but here are a few typos:

* slide 8, GG should be U(n)U(n)

* slide 9 𝔲\mathfrak{u} should be 𝔲(n)\mathfrak{u}(n)

* slide 12 there is a ×\times (I think) floating above the arrowhead for Π\Pi. Not sure what it is.

Posted by: David Roberts on November 16, 2011 2:23 AM | Permalink | Reply to this

Re: Chern-Simons Terms on Higher Moduli Stacks

Thanks! I have fixed these now.

slide 12 there is a ×\times (I think) floating above the arrowhead for Π\Pi. Not sure what it is.

I was looking for a notation that would indicate that the functor preserves products. Such as the hookleftarrows indicate fully faithfulness. For a finite-limit preserving functor I used to add a little “lexlex” to diagrams like this. Since it is fairly common to write Func ×(−,−)⊂Func(−,−)Func_\times(-,-) \subset Func(-,-) for categories of product-preserving functors, I thought for a moment that “×\times” there would do the trick.

But I have added now instead the condition in words. Thanks for the feedback.

Posted by: Urs Schreiber on November 16, 2011 6:57 AM | Permalink | Reply to this

Re: Chern-Simons Terms on Higher Moduli Stacks

Plenty of further examples.

But not today.

Can’t you tell them where to find them on nLab, or is the idea to keep them guessing?

Posted by: David Corfield on November 16, 2011 1:01 PM | Permalink | Reply to this

Re: Chern-Simons Terms on Higher Moduli Stacks

is the idea to keep them guessing?

My idea was that readers would open the pdf that is linked to. But I see, thanks.

So I have added now pointers both to

nLab:∞-Chern-Simons theory – examples

and to

section 4.6 of the pdf.

Posted by: Urs Schreiber on November 16, 2011 3:19 PM | Permalink | Reply to this

Re: Chern-Simons Terms on Higher Moduli Stacks

Tomorrow I will be speaking in Hamburg. Again, this will be chalk on blackboard, but again I have prepared accompanying pdf slides.

This time this is meant as a gentle discussion of the basic idea, aimed at a general math audience with no particular background assumed.

Posted by: Urs Schreiber on December 13, 2011 9:01 PM | Permalink | Reply to this
Read the post Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory
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Excerpt: An article on 7-dimensional Chern-Simons theory of nonabelian String 2-form fields.
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Read the post Extended higher Chern-Simons theories
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Excerpt: A discussion of "extended" or "multi-tiered" prequantum higher-dimensional higher gauge theories of Chern-Simons type.
Tracked: July 20, 2012 9:52 PM

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