Morse theory and gravitational microlensing.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

Morse theory is used to rigorously obtain counting formulas and lower bounds for the total number of images of a background point source, not on a caustic, undergoing lensing by a single-plane microlens system having compact bodies plus either subcritical or supercritical continuously distributed matter. An image-counting formula is also found for the case when external shear is added.

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