PL equivariant surgery and invariant decompositions of 3-manifolds

@article{Jaco1989PLES,
  title={PL equivariant surgery and invariant decompositions of 3-manifolds},
  author={William H. Jaco and J. Hyam Rubinstein},
  journal={Advances in Mathematics},
  year={1989},
  volume={73},
  pages={149-191}
}
Using normal surface theory [H,, J2], we introduce the notion of least weight normal surfaces. The weight of a normal surface is a nonnegative integer invariant of the normal isotopy class of the surface. If we focus on a particular class of normal surfaces and choose representatives which minimize the weight over the class, then we have least weight normal surfaces. It is remarkable how these least weight normal surfaces exhibit many of the same useful properties as least area (minimal… Expand
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