On the Reidemeister torsion of rational homology spheres

Details On the Reidemeister torsion of rational homology spheres On the Reidemeister torsion of rational homology spheres

2000-06-23

arxiv.org/abs/math/0006181v1

Mathematics

Geometric Topology

6 pages

Scientific paper

We prove that the mod Z reduction of the torsion of a rational homology 3-sphere is completely determined by three data: a certain canonical spin^c structure, the linking form and a Q/Z-valued constant c. This constant is a new topological invariant of the rational homology sphere. Experimentations with lens spaces suggest this constant may be as powerful an invariant as the torsion itself.

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