English

Linking Integral Projection

Differential Geometry 2009-07-21 v1 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.0907.3446,
  title  = {Linking Integral Projection},
  author = {Daniel J. Cross},
  journal= {arXiv preprint arXiv:0907.3446},
  year   = {2009}
}

Comments

4 pages, no figures

R2 v1 2026-06-21T13:26:58.730Z