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Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2020, Volume 373, Issue 1, pp. 551 - 596
We prove the existence of an Hermitian-Einstein metric on holomorphic vector bundles with an Hermitian metric satisfying the analytic stability condition, under some assumption for the underlying Kähler manifolds... 
MATHEMATICS | HERMITIAN-EINSTEIN METRICS | CYLINDRICAL MANIFOLDS | ALGEBRAIC-SURFACES | STABILITY | NAHM TRANSFORM | CONNECTIONS | YANG-MILLS FIELDS | POISSON EQUATION | SPATIALLY PERIODIC INSTANTONS | VECTOR-BUNDLES
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 5/2017, Volume 352, Issue 1, pp. 287 - 344
Journal Article
Journal of algebra, ISSN 0021-8693, 2020, Volume 546, pp. 432 - 456
We study the Ext modules in the category of left modules over a twisted algebra of a finite quiver over a ringed space (X,OX), allowing for the presence of... 
Moduli space | Ext groups | Quiver algebras | Quiver representations | MATHEMATICS | REPRESENTATIONS | SPACES | INSTANTONS | VARIETIES | MODULI
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 12/2016, Volume 31, Issue 35, p. 1650188
Journal Article
Compositio Mathematica, ISSN 0010-437X, 11/2014, Volume 150, Issue 11, pp. 1836 - 1868
A trisymplectic structure on a complex 2n-manifold is a three-dimensional space Q of closed holomorphic forms such that any element of Q has constant rank 2n,... 
hyperkähler manifold | spacial holonomy | stable bundle | mathematical instanton | twistor space | hyperkähler reduction | KAHLER-MANIFOLDS | hyperkahler reduction | IRREDUCIBILITY | MODULI SPACES | MATHEMATICS | RANK-2 | P-3 | CONSTRUCTION | hyperkahler manifold | HYPERKAHLER METRICS | SHEAVES | VECTOR-BUNDLES
Journal Article
The Bulletin of the London Mathematical Society, ISSN 0024-6093, 2017, Volume 49, Issue 1, pp. 117 - 132
Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain non‐compact 3... 
53C07 (secondary) | 14D21 | 14F05 (primary) | MATHEMATICS | G-MANIFOLDS | MANIFOLDS | TWISTED CONNECTED-SUMS | FANO 3-FOLDS | G-INSTANTONS | Mathematics
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 09/2018, Volume 2018, Issue 17, pp. 5347 - 5377
Abstract We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded... 
BETTI-NUMBERS | MATHEMATICS | COHOMOLOGY | SPACES | MONADS | INSTANTON BUNDLES | SYMMETRIC-MATRICES | CONSTANT RANK | Algebraic Geometry | Commutative Algebra | Mathematics
Journal Article
Bulletin of the Brazilian Mathematical Society, ISSN 1678-7544, 02/2016, pp. 1 - 21
Bull. Brazilian Math. Soc. 47 (2016), 823--843 We provide a description of the moduli space of framed autodual instanton bundles on projective space, focusing on the particular cases of symplectic and orthogonal instantons... 
instanton bundles | symplectic and orthogonal bundles | moduli space | Mathematics - Algebraic Geometry
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 12/2013, Volume 74, pp. 36 - 42
We consider a particular class of holomorphic vector bundles relevant for supersymmetric string theory, called omalous, over nonsingular projective varieties... 
Monads | Superstring | Bundles | Instantons | Stable bundles | MATHEMATICS | lnstantons | SEMISTABILITY | PHYSICS, MATHEMATICAL
Journal Article
Advances in Mathematics, ISSN 0001-8708, 11/2013, Volume 248, pp. 895 - 920
We present a new method to study 4-dimensional linear spaces of skew-symmetric matrices of constant co-rank 2, based on rank 2 vector bundles on P3 and derived category tools... 
Skew-symmetric matrices | Constant rank | Instanton bundles | Derived category | MATHEMATICS | MONADS | P-3 | CATEGORIES | SHEAVES | VECTOR-BUNDLES | Algorithms | Algebraic Geometry | Mathematics
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 07/2014, Volume 102, Issue 1, pp. 124 - 152
...) holomorphic structure on a vector bundle over a complex torus of dimension 4 into a new holomorphic structure over a different complex torus... 
[formula omitted]-instanton | Bogomolov inequality | Abelian variety | Stable bundle | Period matrices | Secondary | Spin-instanton | Primary | MATHEMATICS | MATHEMATICS, APPLIED | Equality
Journal Article
Izvestiya. Mathematics, ISSN 1468-4810, 2012, Volume 76, Issue 5, pp. 991 - 1073
The problem of irreducibility of the moduli space I_n of rank-2 mathematical instanton vector bundles with arbitrary positive second Chern class n on the projective 3-space is considered... 
Vector bundles | Mathematical instantons | Moduli space | Mathematics - Algebraic Geometry
Journal Article
Physics Letters B, ISSN 0370-2693, 07/2004, Volume 593, Issue 1-4, pp. 218 - 226
We construct new complete, compact, inhomogeneous Einstein metrics on Sm+2 sphere bundles over 2n-dimensional Einstein... 
INSTANTON | PHYSICS, MULTIDISCIPLINARY
Journal Article
Central European journal of mathematics, ISSN 1644-3616, 2012, Volume 10, Issue 4, pp. 1198 - 1231
We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines... 
Geometry | Instanton bundle | Algebra | 14F05 | Topological Groups, Lie Groups | Probability Theory and Stochastic Processes | Mathematics, general | Fano threefold | Mathematics | 14J60 | Number Theory | MATHEMATICS | CATEGORIES | P2N+1 | QUADRICS | SHEAVES | MODULI | VECTOR-BUNDLES | Mathematics - Algebraic Geometry
Journal Article
JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 02/2020, Volume 2020, Issue 2, pp. 1 - 41
..., an important issue. We develop geometric methods to compute the instanton superpotentials for heterotic string theory with monad and extension bundles... 
Superstring Vacua | Superstrings and Heterotic Strings | PHYSICS, PARTICLES & FIELDS | Bundling | String theory | Theorems | Topological manifolds | Cases (containers) | Instantons | Bundles
Journal Article
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, ISSN 0049-4704, 2015, Volume 47, Issue 1, pp. 1 - 9
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 05/2007, Volume 2007, Issue 5, pp. 014 - 14
We extend the T-Duality for gauge theory to that on curved space described as a nontrivial fiber bundle... 
D-branes | Solitons monopoles and instantons | String duality | solitons monopoles and instantons | EQUATIONS | string duality | REDUCED MODEL | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2011, Volume 13, Issue 6, pp. 1505 - 1567
We study the geometry of D-bundles-locally projective D-modules-on algebraic curves, and apply them to the study of integrable hierarchies, specifically the multicomponent Kadomtsev-Petviashvili (KP... 
MATHEMATICS | MATHEMATICS, APPLIED | HILBERT SCHEMES | CALOGERO-MOSER | RIGHT IDEALS | INSTANTONS | VARIETIES | SYSTEMS | PARTIAL-DIFFERENTIAL OPERATORS | ELLIPTIC SOLUTIONS | CATEGORIES | VECTOR-BUNDLES
Journal Article
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