Let M³ be an oriented homology 3-sphere and K be a knot in M³. Let N(K) be a closed regular neighborhood of K, so that N(K) (symbol) S¹ x D². Let M³(K) be the complement of the interior of N(K) in M³. M³(K) is a 3-manifold with boundary. The boundary is a torus T². Since M³ is a homology 3-sphere, we can choose the identification of N(K) with S¹ x D² so that S¹ x {1} is homologically trivial in M³(K). Under this assumption, let μ be the meridian {1} x ∂D² and λ be the preferred longitude S¹ x

EP - xviii PB - Princeton University Press PY - 1990 SN - null SP - xi T2 - Casson's Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36) UR - http://www.jstor.org/stable/j.ctt7ztjbw.4 Y2 - 2021/09/22/ ER -