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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

9 votes

Is there a good notion of morphism between orbifolds?

Concerning orbifolds there are a lot of misunderstandings. The original definition is due to Ishiro Satake in two papers: [Sat1] On a generalization of the notion of manifold, Proceedings of the Nati …
Patrick I-Z's user avatar
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1 vote
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An isomorphism on space of smooth sections

I want first to fix a confusion at the level of the two bundles involved in this construction. My way(*) is to consider, first of all, a $S^1$-bundle over a symplectic manifold $(M,\omega)$, with curv …
Patrick I-Z's user avatar
  • 2,289