H. Shindoh
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Registered User
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May 8 |
comment |
The classifying space of a gauge group It is strange that the LaTeX is not partly working... |
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May 8 |
asked | The classifying space of a gauge group |
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Apr 3 |
awarded | ● Fanatic |
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Mar 12 |
comment |
Pullbacks as manifolds versus ones as topological spaces I see. Do you have any explicit example of your $f$? |
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Mar 12 |
awarded | ● Commentator |
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Mar 12 |
comment |
Pullbacks as manifolds versus ones as topological spaces Can you give me an explicit description of $Z$? |
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Mar 12 |
revised |
Pullbacks as manifolds versus ones as topological spaces added 124 characters in body |
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Mar 12 |
asked | Pullbacks as manifolds versus ones as topological spaces |
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Jan 24 |
comment |
Grothendieck topology for a non-small category Thank you for detailed answer. I am reading your and other answers to understand. Regarding Question 2, I understand that the category of Hausdorff and 2nd countable manifolds is small. The question is: why can we "pass" the small category equivalent to the original category we want to consider? Metzler says "the base category should be thought of as the category of local models", but I can't understand this explanation at all. |
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Jan 23 |
asked | Grothendieck topology for a non-small category |
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Jan 20 |
comment |
A proof of simply connectedness of a symplectic quotient Thank you for your comment. I will try to translate it into symplectic geometry. |
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Jan 16 |
asked | A proof of simply connectedness of a symplectic quotient |
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Jan 2 |
comment |
When are $k$-sectors of a Lie groupoid a manifold? I have roughly checked that for a locally free $H$-action on $M$ the space $(\mathcal{G}^1)_0$ of the action groupoid $\mathcal{G} = H \ltimes M$ is a manifold. Maybe it is better to see locally the space $(\mathcal{G}^1)_0$ by using slices, instead of the transversality of the above map. Regarding a proper foliation groupoid $\mathcal{G}$, I think that we can show that $(\mathcal{G}^1)_0$ is a manifold if we can take "slices" for a foliation structure on $G_0$ induced by the groupoid $\mathcal{G}$. |
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Jan 2 |
revised |
When are $k$-sectors of a Lie groupoid a manifold? edited tags |
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Dec 31 |
comment |
When are $k$-sectors of a Lie groupoid a manifold? Thank you very much for your detailed comment and sorry for my late reply. As Mackenzie corrects the his statement (Prop III.1.17 in LMS 124) in the newer book, I doubt his proof of the statement. (The cartesian square is wrong.) Regarding the comments after example 1.2.12 in LMS 213, the condition of locally triviality is too strong, but the discussion relating to the inner subgroupoid can be helpful to solve my question. |
