IRREDUCIBILITY AND SMOOTHNESS OF THE MODULI SPACE OF MATHEMATICAL 5-INSTANTONS OVER ℙ3

DOI10.1142/S0129167X03001624zbMath1059.14018arXivmath/0206064OpenAlexW2964096296MaRDI QIDQ4807430

Iustin Coandă, Alexander S. Tikhomirov, Guenther Trautmann

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206064

zbMATH Keywords

twistor spacecohomology of a monadrestriction technique

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (18)

New moduli components of rank 2 bundles on projective space ⋮ Semi-stable vector bundles on fibred varieties ⋮ Singular loci of instanton sheaves on projective space ⋮ Moduli of autodual instanton bundles ⋮ Trihyperkähler reduction and instanton bundles on ⋮ Atiyah-Drinfeld-Hitchin-Manin construction of framed instanton sheaves ⋮ Deformation theory of orthogonal and symplectic sheaves ⋮ Complex ADHM equations and sheaves on \(\mathbb P ^3\) ⋮ Homogeneous instanton bundles on \(\mathbb P^3\) for the action of \(\mathrm{SL}(2)\) ⋮ Series of rational moduli components of stable rank two vector bundles on \(\mathbb{P}^3\) ⋮ Brill-Noether theory for moduli spaces of sheaves on algebraic varieties ⋮ Moduli spaces of framed instanton bundles on \(\mathbb {CP}^3\) and twistor sections of moduli spaces of instantons on \(\mathbb C^2\) ⋮ The ADHM variety and perverse coherent sheaves ⋮ On the Semistability of Instanton Sheaves Over Certain Projective Varieties ⋮ MODULI SPACES OF FRAMED PERVERSE INSTANTONS ON ℙ³ ⋮ Irreducibility of the moduli space of orthogonal instanton bundles on \(\mathbb{P}^n\) ⋮ Construction of stable rank 2 bundles on \(\mathbb{P}^3\) via symplectic bundles ⋮ ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES

Cites Work

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• Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand
• Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
• Construction of instantons
• Stable rank-2 vector bundles on \(\mathbb{P}^3\) with \(c_1=0\) and \(c_2=3\)
• Irreducibility of the space of mathematical instanton bundles with rank 2 and \(c_2=4\)
• Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)
• Moduli of stable sheaves. I
• Moduli of stable sheaves. II
• Monads and moduli of vector bundles
• Stable vector bundles of rank 2 on \(P^ 3\)
• On a family of instanton bundles
• Mathematical instantons with maximal order jumping lines

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