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This tag is used if a reference is needed in a paper or textbook on a specific result.
10
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Segal's 1999 Stanford lecture notes on TQFT, where to find them?
I am trying to track down a copy of Graeme Segal's 1999 lecture notes on topological field theory. These are sometimes referred to as the "Stanford lectures" or something similar.
For many years the …
13
votes
Accepted
Characteristic classes in generalized cohomology theories?
Stiefel-Whitney classes exist for any real-oriented cohomology theory. This is a (multiplicative) cohomology theory E equipped with an isomorphism
$E^* ( \mathbb{R} P^{\infty} ) \cong E^*(pt) [[x]]$ …
8
votes
Accepted
Are there universe-indexed spectra over simplicial sets?
Yes to both interpretations of your question. It is not clear to me where you want to put pointed simplicial sets.
One interpretation of your question is that you want to replace pointed topological …
6
votes
Reference request: gluing manifolds along pieces of boundary
This was a bit too long for a comment, so I am posting it as an answer. You are sort of asking two things:
How to turn your manifolds M and S into an appropriate manifold with corners together with …
1
vote
If $(\mathbb M, \tau)$ is a topological monoid, is $\tau$ always induced by a [left] subinva...
The topology of topological monoids can be arbitrarily bad. Here is an instructive example. Let X be any topological space. Then we will construct a (commutative) topological monoid M whose underlying …
7
votes
Accepted
The 2-group of extensions
A version of this, but one categorical level higher (i.e. a 3-group of (central) extensions of 2-groups) appeared explicitly in this paper of mine:
Central Extensions of smooth 2-groups and a finite …
20
votes
Accepted
For what topological groups $G$ can we take $EG \rightarrow BG$ to be of the form $S^{\infty...
I like to think of $EG$ and $BG$ in terms of configuration spaces.
The space $BG$ can be identified with the following configuration space. It consists of configurations of finitely many points in the …