Quantum invariants can provide sharp Heegaard genus bounds

zbMath1229.57015arXiv0801.0738MaRDI QIDQ645094

Helen M. Wong

Publication date: 8 November 2011

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0738

zbMATH Keywords

surgery3-manifoldHeegaard genusSeifert fibered manifoldframed linkReshetikhin-Turaev quantum invariants

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (1)

Quantum invariants of random 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A representation of orientable combinatorial 3-manifolds
• Heegaard genus of closed orientable Seifert 3-manifolds
• Quantum field theory and the Jones polynomial
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Invariants of three-manifolds with spin structure
• A calculus for framed links in \(S^3\)
• Fox's congruence classes and the quantum-\(SU(2)\) invariants of links in 3-manifolds
• Applications of quantum invariants in low dimensional topology
• Topological quantum field theories derived from the Kauffman bracket
• Invariants of 3-manifolds via link polynomials and quantum groups
• Examples of different 3-manifolds with the same invariants of Witten and Reshetikhin-Turaev
• Congruence and quantum invariants of 3-manifolds
• Heegaard-Zerlegungen der 3-Sphäre
• Distinct 3-Manifolds with all SU(2) q Invariants the Same
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
• Quantum invariants of knots and 3-manifolds

This page was built for publication: Quantum invariants can provide sharp Heegaard genus bounds