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Results tagged with reference-request
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user 3473
This tag is used if a reference is needed in a paper or textbook on a specific result.
8
votes
What is Pressley and Segal's "basic inner product" for compact simple Lie algebras of types ...
Section 4 of
Gawȩdzki, Krzysztof; Reis, Nuno, Basic gerbe over non-simply connected compact groups, J. Geom. Phys. 50, No. 1-4, 28-55 (2004). ZBL1067.22009.
lists, in an absolutely concrete way, the s …
- 4,519
5
votes
Simplicial set construction of the classifying space
I know this description from following paper of Segal. He doesn't mention Milgram there, but relates it to Milnor's join construction. Also, $G$ is allowed to be any topological group, no need for dis …
- 4,519
6
votes
Group cohomology version of Deligne-Beilinson cohomology
Sorry, I just saw this question.
One can consider Deligne cohomology for simplicial manifolds in the rather obvious way, namely by adding an additional "simplicial manifold" direction to the ususal do …
- 4,519
9
votes
0
answers
304
views
Refinement of hypercovers by ordinary covers
I am asking for references and discussions of statements of the form
Every bounded hypercover can be refined by an ordinary cover
By "bounded" I mean "finite height". E.g., are there conditions for …
- 4,519
2
votes
Accepted
Low dimensional integral cohomology of $BPSO(4n)$
Gawedzki and I have investigated this question for all compact simple Lie groups using the descent of multiplicative bundle gerbes from simply connected covers to quotients by subgroups of the center: …
- 4,519
3
votes
The 2-group of extensions
The paper Extensions of symmetric cat-groups by D. Bourn and E.M. Vitale defines and studies a bicategory of extensions of 2-groups (called cat-groups in the paper). In section 13, it introduces a mon …
- 4,519
4
votes
reference request for essential equivalence of top. groupoids
For example, this is proved as:
Lemma 3.34 in Lerman, E.: Orbifolds as stacks?
Proposition 60 in Metzler, D.S.: Topological and Smooth Stacks
- 4,519
4
votes
De Rham theorem for differentiable spaces
How much do you want to stick to Chen's original definition of a "differentiable space"? I recommend to look for the very similar notion of a "diffeological space", for which more literature is availa …
- 4,519
3
votes
The Grothendieck plus construction for stacks of n-types
Thomas Nikolaus and Christoph Schweigert discuss the +-construction for $n=2$ in their paper Equivariance in Higher Geometry. They split it up into two steps (I think): first producing a pre-2-stack o …
- 4,519
4
votes
Accepted
literature on geometrical viewpoint on calculus of variations for physics
I think that the book
David Bleecker: Gauge Theory and Variational Principles, Addison-Wesley, 1981
contains exactly what you are looking for.
- 4,519