Vector bundles on degenerations of elliptic curves and Yang–Baxter equations
From MaRDI portal
Publication:5403708
DOI10.1090/S0065-9266-2012-00654-XzbMath1314.14032arXiv0708.1685MaRDI QIDQ5403708
Publication date: 18 March 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.1685
elliptic fibrationsMassey productsderived categories of sheavesvector bundles on genus one curvesYang--Baxter equations
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (8)
On elliptic solutions of the associative Yang-Baxter equation ⋮ Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang–Baxter equation ⋮ Quantization and dynamisation of trace-Poisson brackets ⋮ Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation ⋮ Trigonometric integrable tops from solutions of associative Yang-Baxter equation ⋮ Vector bundles on plane cubic curves and the classical Yang-Baxter equation ⋮ Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation ⋮ A counterexample to vanishing conjectures for negative \(K\)-theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interactions between autoequivalences, stability conditions, and moduli problems
- \(\mathcal D\)-bundles and integrable hierarchies
- Classical Yang-Baxter equation and the \(A_\infty\)-constraint
- Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations
- \(A\)-infinity structure on Ext-algebras.
- Compactifying the Picard scheme
- Residuen von Differentialformen auf Cohen-Macaulay-Varietäten
- Stable vector bundles over cuspidal cubics
- Trigonometric solutions of the associative Yang-Baxter equation
- Grothendieck duality and base change
- Elliptic functions and applications
- Elliptic Dunkl operators, root systems, and functional equations
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Braid group actions on derived categories of coherent sheaves.
- Quantization of Lie bialgebras. I
- Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
- On a relative Fourier-Mukai transform on genus one fibrations
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Introduction to Grothendieck duality theory
- Noetherian hereditary abelian categories satisfying Serre duality
- Vector Bundles Over an Elliptic Curve
- Sur La Classification Des Espaces Fibrés Vectoriels Holomorphes Sur Un Tore Complexe Admettant Des Connexions Holomorphes
- On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
- Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
- Moduli Spaces of Semistable Sheaves on Singular Genus 1 Curves
- Vector Bundles over Elliptic Fibrations
- The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
- Simple vector bundles on plane degenerations of an elliptic curve
- Derived categories of irreducible projective curves of arithmetic genus one
- Analytic moduli spaces of simple sheaves on families of integral curves
- Vector Bundles on an Elliptic Curve
- Stable Bundles on a Rational Curve with One Simple Double Point
- On the associative analog of Lie bialgebras
- Tame and wild projective curves and classification of vector bundles.
This page was built for publication: Vector bundles on degenerations of elliptic curves and Yang–Baxter equations
