Three dimensional homology handles and circles
Akio Kawauchi · Osaka City University (Osaka City University) · 1975
This paper will extend the known propertes of the Alexander polynomials of classical knot complements to the properties of the Alexander polynomials of arbitrary (possibly non-orientable) compact 3-manifolds with infinite cyclic first homology groups. In particular, the Alexander polynomial will always have a reciprocal property. The existence of the corresponding manifolds and the other related results will be shown.