Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations

DOI10.1007/978-0-8176-4747-6_19zbMath1237.16033arXivmath/0612761OpenAlexW2129377411MaRDI QIDQ3582043

Alexander Polishchuk

Publication date: 2 September 2010

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612761

zbMATH Keywords

Massey productsquantum Yang-Baxter equationssimple vector bundlesBelavin-Drinfeld triplesassociative Yang-Baxter equationscycles of projective lines

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)

Related Items (12)

On elliptic solutions of the associative Yang-Baxter equation ⋮ Classification of \(D\)-bialgebra structures on power series algebras ⋮ Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and \(R\)-matrix identities ⋮ Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang–Baxter equation ⋮ Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation ⋮ 𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves ⋮ Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces ⋮ Simple vector bundles on plane degenerations of an elliptic curve ⋮ Vector bundles on degenerations of elliptic curves and Yang–Baxter equations ⋮ Trigonometric integrable tops from solutions of associative Yang-Baxter equation ⋮ Generalized model of interacting integrable tops ⋮ Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation

Cites Work

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• Classical Yang-Baxter equation and the \(A_\infty\)-constraint
• The complex exponent of a singularity does not change along strata mu=const
• Trigonometric solutions of the associative Yang-Baxter equation
• Associative triples and the Yang-Baxter equation.
• On the associative analog of Lie bialgebras

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