Linking Integral Projection

Details Linking Integral Projection Linking Integral Projection

2009-07-20

arxiv.org/abs/0907.3446v1

Mathematics

Differential Geometry

4 pages, no figures

Scientific paper

The linking integral is an invariant of the link-type of two manifolds immersed in a Euclidean space. It is shown that the ordinary Gauss integral in three dimensions may be simplified to a winding number integral in two dimensions. This result is then generalized to show that in certain circumstances the linking integral between arbitrary manifolds may be similarly reduced to a lower dimensional integral.

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