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A differentiable stack is the analogue in differential geometry of an algebraic stack in algebraic geometry. It can be described either as a stack over differentiable manifolds which admits an atlas, or as a Lie groupoid up to Morita equivalence.
Definition, Examples & With Grothendieck topology
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displaystyle stack differentiable groupoid mathrm mathcal lie manifold category morita equivalence mfd times underline groupoids rightrightarrows stacks differential one defines
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Differentiable stack | is a | analogue in differential geometry of an algebraic stack in algebraic geometry | 0.90 | text |
| Differentiable stack | is a | stack π | 0.90 | text |
| Differentiable stack | is a | stack on C | 0.90 | text |
| Differentiable stack | related to Differential space | For | 0.60 | section |
| Differentiable stack | related to Differential space | Lie | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | Every Lie | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | BG | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | Mfd | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | Grp | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | Any | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | Lie | 0.60 | section |
| Differentiable stack | related to Equivalence between the definitions 2 and 3 | Morita | 0.60 | section |
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