| Applications of Reidemeister Torsions to 3-Dimensional Topology Contributor(s): Turaev (Touraev), Vladimir G. (Author), Kadokami, Teruhisa (Author), Suzuki, Masaaki (Author) |
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ISBN: 9813233702 ISBN-13: 9789813233706 Publisher: World Scientific Publishing Company OUR PRICE: $64.60 Product Type: Hardcover Published: September 2025 This item may be ordered no more than 25 days prior to its publication date of September 30, 2025 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General |
| Physical Information: 150 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This lecture notes is based on a sequence of lectures on Reidemeister torsions by V Turaev.J Milnor showed that Reidemeister torsions and the Alexander polynomials are deeply related. By the surgery formulas of Reidemeister torsions, we can apply them to Dehn surgery problems, namely to lens and Seifert surgery problems, and to amphicheirality problem of a link. Since Reidemeister torsions of rational homology 3-spheres are elements in cyclotomic fields, we need algebraic number theoretical studies.Recently P Ozsvath and Z Szabo defined the Heegaard Floer homology which is a powerful invariant to study 3-manifolds. It induces the Reidemeister-Turaev torsion. We also explain it here. |