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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1850170991088500736 |
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| author | Liviu I. Nicolaescu |
| author_facet | Liviu I. Nicolaescu |
| author_sort | Liviu I. Nicolaescu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a3fa25f1339f4940bfbbb27a501400aa |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a3fa25f1339f4940bfbbb27a501400aa2025-08-20T02:20:22ZengWileyInternational 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 |
| spellingShingle | Liviu I. Nicolaescu On the Reidemeister torsion of rational homology spheres International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | On the Reidemeister torsion of rational homology spheres |
| title_sort | on the reidemeister torsion of rational homology spheres |
| url | http://dx.doi.org/10.1155/S0161171201010523 |
| work_keys_str_mv | AT liviuinicolaescu onthereidemeistertorsionofrationalhomologyspheres |