Homfly polynomial via an invariant of colored plane graphs

zbMath0958.57014MaRDI QIDQ1594937

Shuji Yamada, Tomotada Ohtsuki, Hitoshi Murakami

Publication date: 30 January 2001

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items

Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪, \(q\)-holonomic formulas for colored HOMFLY polynomials of 2-bridge links, Wilson punctured network defects in 2D \(q\)-deformed Yang-Mills theory, Sequencing BPS spectra, On skein relations in class S theories, Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory, Grothendieck groups of the Khovanov–Kuperberg algebras, Knot homology and sheaves on the Hilbert scheme of points on the plane, On webs in quantum type C, An Alexander polynomial for MOY graphs, Khovanov-Rozansky homology and directed cycles, Spiders for rank 2 Lie algebras, Integral HOMFLY-PT and \(sl(n)\)-link homology, Symmetric Khovanov-Rozansky link homologies, Computing Khovanov-Rozansky homology and defect fusion, Lectures on knot homology, The Robinson-Schensted correspondence and \(A_2\)-web bases, Khovanov homology is a skew Howe 2-representation of categorified quantum \(\mathfrak{sl}_m\), 3D TQFT and HOMFLYPT homology, Extremal weight projectors. II: \(\mathfrak{gl}_N\) case, An invariant of virtual trivalent spatial graphs, Skein and cluster algebras of unpunctured surfaces for \({\mathfrak{sl}}_3\), Categorification: tangle invariants and TQFTs, A deformation of Robert-Wagner foam evaluation and link homology, On \(\mathfrak{sl}(N)\) link homology with \(\bmod N\) coefficients, Generic deformations of the colored \(\mathfrak {sl}(N)\)-homology for links, Khovanov-Rozansky homology and topological strings, The colored HOMFLYPT function is q-holonomic, An explicit bijection between semistandard tableaux and non-elliptic \(sl _{3}\) webs, Five lectures on Khovanov homology, Quantum invariants and finite group actions on three-manifolds., Planar algebras and the decategorification of bordered Khovanov homology, Webs and quantum skew Howe duality, Web bases for the general linear groups, A closed formula for the evaluation of foams, Mixed quantum skew Howe duality and link invariants of type \(A\), The 1,2-coloured HOMFLY-PT link homology, A generating series for Murakami-Ohtsuki-Yamada graph evaluations, Knot homology via derived categories of coherent sheaves. II: \(\mathfrak{sl}_{m}\) case, Homological thickness and stability of torus knots, Jones-Wenzl idempotents for rank 2 simple Lie algebras, \(\text{sl}(3)\) link homology, A graphical construction of the sl(3) invariant for virtual knots, Tangle addition and the knots‐quivers correspondence, A slice genus lower bound from \(sl(n)\) Khovanov-Rozansky homology, The Jones polynomial of ribbon links, \(sl(N)\)-link homology \((N\geq 4)\) using foams and the Kapustin-Li formula, Locality and the uniqueness of quantum invariants, Uq(sln) web models and Zn spin interfaces, On the quantum filtration of the Khovanov-Rozansky cohomology, 𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies, Floer homology and singular knots, New categorifications of the chromatic and dichromatic polynomials for graphs, Exponential growth of colored HOMFLY-PT homology, Skein theory for the \(D_{2n}\) planar algebras, Quantum (sl_n, ∧V _n) link invariant and matrix factorizations, A topological interpretation of Viro's \(\mathfrak{gl}(1|1)\)-Alexander polynomial of a graph, Equivariant \(\text{sl}(n)\)-link homology, Skein theory for \(SU(n)\)-quantum invariants, A quantum categorification of the Alexander polynomial, Evaluations of annular Khovanov-Rozansky homology, The 𝔰𝔩3 colored Jones polynomials for 2-bridge links, Invariance and the knot Floer cube of resolutions, The quantum \(SU(3)\) invariant of links and Murasugi's congruence