On the third Ohtsuki invariant for the Brieskorn–Hamm manifolds

DOI10.1142/S0218216521500346zbMath1470.57037OpenAlexW3166214676MaRDI QIDQ5003404

Yasuyoshi Tsutsumi

Publication date: 22 July 2021

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216521500346

zbMATH Keywords

Dedekind sumrational homology 3-sphereBrieskorn-Hamm manifoldOhtsuki invariant

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Negativity of the Lescop invariants of the Brieskorn-Hamm manifolds
• Classical tessellations and three-manifolds
• Invariants for homology 3-spheres
• Ohtsuki invariants of the Brieskorn-Hamm manifolds and their inequalities
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Seiberg-Witten invariants and surface singularities
• Witten-Reshetikhin-Turaev invariants of Seifert manifolds
• A polynomial invariant of rational homology \(3\)-spheres
• Invariants of 3-manifolds via link polynomials and quantum groups
• Exotische Sphären als Umgebungsränder in speziellen komplexen Räumen
• Casson-Walker Invariant of Seifert Fibered Rational Homology Spheres as Quantum SO(3)-Invariant
• QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker
• Global Surgery Formula for the Casson-Walker Invariant
• ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES
• A distribution of rational homology 3-spheres captured by the CWL invariant Phase 1
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