Abstract
Let M be an oriented manaifold. Cycles on M, of complementary dimensions, have a well defined multiplicity of intersection at a given point, whenever they are in general position near it; if they are not, the multiplicity of intersection is not defined. The same applies to two chains, their degree of intersection is defined whenever their boundaries have disjoint support. Of course the chains can be deformed so that their boundaries be disjoint, but then, different deformations will give different degrees of intersection and in general there is no preferred deformation.
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© 1992 Birkhäuser Boston
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Dubson, A.S. (1992). Local Multiplicity of the Intersection of Lagrangian Cycles and the Index of Holonomic Modules. In: Tirao, J., Wallach, N.R. (eds) New Developments in Lie Theory and Their Applications. Progress in Mathematics, vol 105. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2978-0_14
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DOI: https://doi.org/10.1007/978-1-4612-2978-0_14
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