Graphs, Links, and Duality on Surfaces
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Publication:3081332
DOI10.1017/S0963548310000295zbMath1211.05029arXiv0903.5312OpenAlexW2963548999MaRDI QIDQ3081332
Publication date: 7 March 2011
Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.5312
Related Items (31)
A characterization of alternating links in thickened surfaces ⋮ Universal Tutte characters via combinatorial coalgebras ⋮ A Tutte Polynomial for Maps ⋮ The Jones-Krushkal polynomial and minimal diagrams of surface links ⋮ Polynomial invariants of graphs on surfaces ⋮ A Tutte polynomial for non-orientable maps ⋮ The Jones polynomial from a Goeritz matrix ⋮ Topological quantum field theory and polynomial identities for graphs on the torus ⋮ A quantum invariant of links in \(T^2\times I\) with volume conjecture behavior ⋮ Deletion-contraction and the surface Tutte polynomial ⋮ Hopf algebras and Tutte polynomials ⋮ Adequate links in thickened surfaces and the generalized Tait conjectures ⋮ On the Tutte-Krushkal-Renardy polynomial for cell complexes ⋮ Homological polynomial coefficients and the twist number of alternating surface links ⋮ Tutte's dichromate for signed graphs ⋮ The Las Vergnas polynomial for embedded graphs ⋮ Bollobás-Riordan and relative Tutte polynomials ⋮ A Tutte polynomial for maps. II: The non-orientable case ⋮ A quasi-tree expansion of the Krushkal polynomial ⋮ A Turaev surface approach to Khovanov homology ⋮ A recipe theorem for the topological Tutte polynomial of Bollobás and Riordan ⋮ Matroidal frameworks for topological Tutte polynomials ⋮ Types of embedded graphs and their Tutte polynomials ⋮ A polynomial invariant and duality for triangulations ⋮ Planar diagrams for local invariants of graphs in surfaces ⋮ Edge colourings and topological graph polynomials ⋮ Matroids, delta-matroids and embedded graphs ⋮ A volumish theorem for alternating virtual links ⋮ Generalization of the Bollobás-Riordan polynomial for tensor graphs ⋮ Irreducibility of the Tutte polynomial of an embedded graph ⋮ Guts, volume and skein modules of 3-manifolds
Cites Work
- Link invariants, the chromatic polynomial and the Potts model
- Conformal boundary loop models
- A polynomial of graphs on surfaces
- Tutte chromatic identities from the Temperley-Lieb algebra
- Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
- The multivariate signed Bollobás-Riordan polynomial
- Partial duality and Bollobás and Riordan's ribbon graph polynomial
- A spanning tree expansion of the Jones polynomial
- State models and the Jones polynomial
- What is a virtual link?
- Virtual knot theory
- Knot invariants and the Bollobás-Riordan polynomial of embedded graphs
- The Jones polynomial and graphs on surfaces
- Minimal surface representations of virtual knots and links
- A Polynomial Invariant of Graphs On Orientable Surfaces
- A polynomial invariant for knots via von Neumann algebras
- MULTI-VARIABLE POLYNOMIAL INVARIANTS FOR VIRTUAL LINKS
- A Contribution to the Theory of Chromatic Polynomials
- Dimers and the critical Ising model on lattices of genus \(>1\)
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