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Applications Of Reidemeister Torsions To 3-dimensional Topology

Vladimir G Turaev (Touraev), Teruhisa Kadokami, Masaaki Suzuki (Autoren)

Buch | Hardcover

150 Seiten

2025
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-323-370-6 (ISBN)

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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.

Erscheint lt. Verlag	30.9.2025
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-323-370-2 / 9813233702
ISBN-13	978-981-323-370-6 / 9789813233706
Zustand	Neuware