Abstract
Given an oriented rational homology –sphere , it is known how to associate to any Spin–structure on two quadratic functions over the linking pairing. One quadratic function is derived from the reduction modulo of the Reidemeister–Turaev torsion of , while the other one can be defined using the intersection pairing of an appropriate compact oriented –manifold with boundary . In this paper, using surgery presentations of the manifold , we prove that those two quadratic functions coincide. Our proof relies on the comparison between two distinct combinatorial descriptions of Spin–structures on : Turaev’s charges vs Chern vectors.
Citation
Florian Deloup. Gwenael Massuyeau. "Reidemeister–Turaev torsion modulo one of rational homology three-spheres." Geom. Topol. 7 (2) 773 - 787, 2003. https://doi.org/10.2140/gt.2003.7.773
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