On the Reidemeister torsion of rational homology spheres
We prove that the Modℤ reduction of the Reidemeister torsion of a rational homology 3-sphere is naturally a ℚ/ℤ-valued quadratic function uniquely determined by a ℚ/ℤ-constant and the linking form.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010523 |
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doaj-a3fa25f1339f4940bfbbb27a501400aa2020-11-24T22:46:31ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251111710.1155/S0161171201010523On the Reidemeister torsion of rational homology spheresLiviu I. Nicolaescu0University of Notre Dame, Notre Dame 46556, IN, USAWe prove that the Modℤ reduction of the Reidemeister torsion of a rational homology 3-sphere is naturally a ℚ/ℤ-valued quadratic function uniquely determined by a ℚ/ℤ-constant and the linking form.http://dx.doi.org/10.1155/S0161171201010523 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Liviu I. Nicolaescu |
| spellingShingle |
Liviu I. Nicolaescu On the Reidemeister torsion of rational homology spheres International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Liviu I. Nicolaescu |
| author_sort |
Liviu I. Nicolaescu |
| title |
On the Reidemeister torsion of rational homology spheres |
| title_short |
On the Reidemeister torsion of rational homology spheres |
| title_full |
On the Reidemeister torsion of rational homology spheres |
| title_fullStr |
On the Reidemeister torsion of rational homology spheres |
| title_full_unstemmed |
On the Reidemeister torsion of rational homology spheres |
| title_sort |
on the reidemeister torsion of rational homology spheres |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
We prove that the Modℤ
reduction of the Reidemeister
torsion of a rational homology 3-sphere is naturally a ℚ/ℤ-valued quadratic function uniquely determined by a ℚ/ℤ-constant and the linking form. |
| url |
http://dx.doi.org/10.1155/S0161171201010523 |
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AT liviuinicolaescu onthereidemeistertorsionofrationalhomologyspheres |
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