SPIN TOPOLOGICAL QUANTUM FIELD THEORIES

DOI10.1142/S0129167X98000099zbMath0938.57023arXivq-alg/9608014MaRDI QIDQ4219924

Anna Beliakova

Publication date: 9 May 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9608014

zbMATH Keywords

3-manifoldscobordismspin structuresquantum invariantsTQFT

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) General geometric structures on low-dimensional manifolds (57M50) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (1)

State sum construction of two-dimensional topological quantum field theories on spin surfaces

Cites Work

• 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 combinatorial approach to topological quantum field theories and invariants of graphs
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Topological quantum field theory and invariants of graphs for quantum groups
• Topological quantum field theories derived from the Kauffman bracket
• Topological quantum field theories for surfaces with spin structure
• Invariants of 3-manifolds via link polynomials and quantum groups
• On the relation between two quantum group invariants of 3-cobordisms
• Spin Structures and Quadratic forms on Surfaces
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS

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