Pontryagin invariants and integral formulas for Milnor's triple linking number

@article{DeTurck2011PontryaginIA,
  title={Pontryagin invariants and integral formulas for Milnor's triple linking number},
  author={D. DeTurck and Herman Gluck and R. Komendarczyk and P. Melvin and C. Shonkwiler and David Shea Vela-Vick},
  journal={arXiv: Geometric Topology},
  year={2011}
}
To each three-component link in the 3-sphere, we associate a geometrically natural characteristic map from the 3-torus to the 2-sphere, and show that the pairwise linking numbers and Milnor triple linking number that classify the link up to link homotopy correspond to the Pontryagin invariants that classify its characteristic map up to homotopy. This can be viewed as a natural extension of the familiar fact that the linking number of a two-component link in 3-space is the degree of its… Expand