Abstract
The aim of this talk is to explain and compare some approaches to the leaf space (or “transverse structure”) of a foliation. A foliation is a certain partition \(\mathcal{F}\) of a manifold M into immersed submanifolds, the leaves of the foliation. Identifying each of the leaves to a single point yields a very uninformative, “coarse” quotient space, and the problem is to define a more refined quotient M/\(\mathcal{F}\),which captures aspects of that part of the geometric structure of the foliation which is constant and/or trivial along the leaves.
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Moerdijk, I. (2001). Models for the Leaf Space of a Foliation. In: Casacuberta, C., Miró-Roig, R.M., Verdera, J., Xambó-Descamps, S. (eds) European Congress of Mathematics. Progress in Mathematics, vol 201. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8268-2_28
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DOI: https://doi.org/10.1007/978-3-0348-8268-2_28
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