Proof of the Razumov-Stroganov conjecture for some infinite families of link patterns
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Publication:870036
zbMath1119.82018arXivmath/0607183MaRDI QIDQ870036
Publication date: 12 March 2007
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607183
Combinatorial identities, bijective combinatorics (05A19) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Arctic curves of the six-vertex model on generic domains: the tangent method ⋮ Grassmann-Grassmann conormal varieties, integrability, and plane partitions ⋮ On some ground state components of the O(1) loop model ⋮ Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices ⋮ Proof of the Razumov-Stroganov conjecture ⋮ On some polynomials enumerating fully packed loop configurations ⋮ Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder
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