Integrality of Homfly 1-tangle invariants

DOI10.2140/agt.2007.7.327zbMath1132.57014arXivmath/0606336OpenAlexW2040786089MaRDI QIDQ2464755

Hugh R. Morton

Publication date: 17 December 2007

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606336

zbMATH Keywords

satelliteannulusquantum fieldskeinintegralityHomfly1-tanglemeridian map

Mathematics Subject Classification ID

Related Items (7)

Congruence skein relations for colored HOMFLY-PT invariants ⋮ New structures for colored HOMFLY-PT invariants ⋮ String theory and the Kauffman polynomial ⋮ Composite representation invariants and unoriented topological string amplitudes ⋮ Checks of integrality properties in topological strings ⋮ Relations between Kauffman and Homfly satellite invariants ⋮ A simple proof of the strong integrality for full colored HOMFLYPT invariants

Uses Software

• KnotInfo

Cites Work

• Representations of braid groups and the quantum Yang-Baxter equation
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• Integrality and symmetry of quantum link invariants
• A congruence between link polynomials
• IDEMPOTENTS OF HECKE ALGEBRAS OF TYPE A
• On the skeins in the annulus and applications to invariants of 3-manifolds
• Idempotents of the Hecke algebra become Schur functions in the skein of the annulus
• A basis for the full Homfly skein of the annulus
• Skein construction of idempotents in Birman-Murakami-Wenzl algebras
• Homfly polynomials of generalized Hopf links
• Unnamed Item

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