Quantizations of local surfaces and rebel instantons

DOI10.4171/JNCG/443zbMath1493.14015arXiv1904.09455OpenAlexW4205561756MaRDI QIDQ2140253

Elizabeth Gasparim, Severin Barmeier

Publication date: 20 May 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09455

zbMATH Keywords

deformation quantizationnoncommutative instantonsmoduli spaces of vector bundles

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Deformation quantization, star products (53D55) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (1)

Poisson structures on the conifold and local Calabi-Yau threefolds

Cites Work

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• Twisted deformation quantization of algebraic varieties
• Local holomorphic Euler characteristic and instanton decay
• The Nekrasov conjecture for toric surfaces
• Local moduli of holomorphic bundles
• The construction of ALE spaces as hyper-Kähler quotients
• Construction of instantons
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• Kontsevich star product on the dual of a Lie algebra
• Rank two bundles on the blow-up of \(\mathbb{C}^2\)
• Rank 2 vector bundles in a neighborhood of an exceptional curve of a smooth surface
• String theory and noncommutative geometry
• Hochschild cohomology and deformation quantization of affine toric varieties
• Classical deformations of noncompact surfaces and their moduli of instantons
• Deformation quantization of Poisson manifolds
• Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities
• Algebraic deformations of toric varieties. II: Noncommutative instantons
• Multiple zeta values in deformation quantization
• Deformation-obstruction theory for diagrams of algebras and applications to geometry
• Hochschild cohomology of Abelian categories and ringed spaces
• Numerical invariants for bundles on blow-ups
• Deformation quantization modules
• THE ADHM CONSTRUCTION OF INSTANTONS ON NONCOMMUTATIVE SPACES
• Vector Bundles Near Negative Curves: Moduli and Local Euler Characteristic
• Holomorphic bundles on O(− k) are algebraic
• Deformations of algebras in noncommutative geometry
• On the (Ir)rationality of Kontsevich Weights
• Noncommutative instantons and twistor transform
• Deformation quantization of algebraic varieties.

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