Bilinear forms on skein modules and steps in Dyck paths

DOI10.1063/1.3609231zbMath1317.81235arXiv1011.0941OpenAlexW1969148821MaRDI QIDQ5266096

Toufik Mansour, Xuanting Cai

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0941

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Quantum equilibrium statistical mechanics (general) (82B10) Topological field theories in quantum mechanics (81T45) Coloring of graphs and hypergraphs (05C15) Quadratic and bilinear forms, inner products (15A63)

Cites Work

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• Quantum field theory and the Jones polynomial
• Three-manifolds and the Temperley-Lieb algebra
• Meander determinants
• Meanders and the Temperley-Lieb algebra
• Topological quantum field theories derived from the Kauffman bracket
• A Gram determinant for Lickorish's bilinear form
• A polynomial invariant for knots via von Neumann algebras
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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