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Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, 9/2019, Volume 10, Issue 3, pp. 535 - 555
.... The formalism is meant to complement the quantization of the cotangent bundle $$T^\sharp {\mathsf {G}}\cong {\mathsf {G}}\times \mathfrak {g}^\sharp $$ T ♯ G ≅ G × g ♯ by pseudo-differential operators, to which it is connected in an explicit way... 
Berezin quantization | Pseudo-differential operator | Symbol | Mathematics | Operator Theory | Algebra | Primary 22E25 | Functional Analysis | Analysis | Nilpotent group | 47G30 | Applications of Mathematics | Lie algebra | Partial Differential Equations | Coherent states | Secondary 22E45 | 46L65 | SYMBOLIC-CALCULUS | MATHEMATICS | INVARIANT PSEUDODIFFERENTIAL-OPERATORS | MATHEMATICS, APPLIED | L-P BOUNDEDNESS | LOCALIZATION OPERATORS
Journal Article
Compositio mathematica, ISSN 0010-437X, 04/2019, Volume 155, Issue 4, pp. 681 - 710
...: the bases of miniversal families of vector bundles on projective curves, and the bases of miniversal families of quiver representations. 
MATHEMATICS | NC-smooth thickening | algebroid | quiver representations | moduli of vector bundles | MODULI | NC-nilpotent algebra
Journal Article
Bulletin des sciences mathématiques, ISSN 0007-4497, 02/2019, Volume 150, pp. 84 - 101
.... We consider classes of semistable G-Higgs bundles over a Riemann surface X of genus g⩾2 whose underlying HC-principal bundle is unstable... 
Character varieties | Higgs bundles | Topology of moduli spaces | Nilpotent cone | MATHEMATICS, APPLIED | SURFACE GROUP-REPRESENTATIONS | PRINCIPAL BUNDLES | Mathematics - Algebraic Geometry
Journal Article
Kodai mathematical journal, ISSN 0386-5991, 2015, Volume 38, Issue 3, pp. 690 - 731
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2009, Volume 137, Issue 10, pp. 3291 - 3296
We show that certain line bundles on the cotangent bundle of a Grassmannian arising from an anti-dominant character... 
Cotangent function | Mathematical theorems | Algebra | MATHEMATICS | MATHEMATICS, APPLIED | NORMALITY | NILPOTENT VARIETIES
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 2/2019, Volume 16, Issue 1, pp. 1 - 23
...Mediterr. J. Math. (2019) 16:9 https://doi.org/10.1007/s00009-018-1293-7 c Springer Nature Switzerland AG 2019 Logarithmic Co-Higgs Bundles Edoardo Ballico... 
nilpotent | Secondary 14D20 | Co-Higgs bundle | Mathematics, general | Mathematics | logarithmic sheaf | 53D18 | Primary 14J60 | MATHEMATICS | MATHEMATICS, APPLIED | RANK-2 | ARRANGEMENTS | MODULI SPACES | SHEAVES | HOLOMORPHIC TRIPLES | VECTOR-BUNDLES | GEOMETRY
Journal Article
International journal of mathematics, ISSN 1793-6519, 2019, Volume 30, Issue 5, p. 1950025
We study various aspects on nontrivial logarithmic co-Higgs structure associated to unstable bundles on algebraic curves... 
Co-Higgs sheaf | MATHEMATICS | nilpotent | Segre invariant | VARIETIES | MODULI SPACE | logarithmic tangent bundle | SHEAVES | VECTOR-BUNDLES
Journal Article
Annali di matematica pura ed applicata, ISSN 1618-1891, 2019, Volume 199, Issue 3, pp. 833 - 862
In this paper, we obtain a vertical-horizontal decomposition formula of Laplacians on manifolds with a special foliation structure. Two Nomizu-type theorems... 
MATHEMATICS, APPLIED | Nilpotent foliation | Torus fibration | RHAM | THEOREM | NILMANIFOLDS | Laplacian | Kunneth formula | MATHEMATICS | Vertical form | Nilpotent group | DOLBEAULT COHOMOLOGY | COMPLEX STRUCTURES | SPECTRAL SEQUENCE | Horizontal lift | Nomizu-type theorem | GEOMETRY
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 08/2015, Volume 94, pp. 179 - 184
Let X be a compact connected Riemann surface of genus at least two. Let M (r, d) denote the moduli space of semistable Higgs bundles on X of rank r and degree d... 
Bohr-Sommerfeld Lagrangian | C-action | Higgs bundle | Nilpotent cone | MATHEMATICS, APPLIED | INTEGRABLE SYSTEMS | PHYSICS, MATHEMATICAL | CURVES | PAIRS
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 12/2009, Volume 143, Issue 1, pp. 19 - 35
We study the null fiber of a moment map related to dual pairs. We construct an equivariant resolution of singularities of the null fiber, and get conormal bundles of closed $${K_{\mathbb{C... 
Null fiber | Dual pair | Mathematics | 14E15 | Secondary 14L30 | Geometry | 22E47 | Lagrangian Grassmannian | Nilpotent orbit | Conormal bundle | 20G05 | Flag variety | Primary 14M15 | Resolution | REPRESENTATIONS | COMPLEXES | VARIETIES | INVARIANT-THEORY | MATHEMATICS | PAIRS | Fibers
Journal Article
KODAI MATHEMATICAL JOURNAL, ISSN 0386-5991, 03/2019, Volume 42, Issue 1, pp. 1 - 47
...] of nilpotent admissible/ordinary indigenous bundles on hyperbolic curves. By applying the characterization, we also obtain lists of the nilpotent indigenous bundles on certain hyperbolic curves... 
MATHEMATICS | hyperbolically ordinary | p-adic Teichmuller theory | nilpotent admissible indigenous bundle | nilpotent ordinary indigenous bundle | supersingular divisor
Journal Article
Annales de l'Institut Fourier, ISSN 0373-0956, 2015, Volume 65, Issue 6, pp. 2601 - 2612
Journal Article
Journal of the Mathematical Society of Japan, ISSN 0025-5645, 04/2004, Volume 56, Issue 2, pp. 503 - 518
Journal Article
Algebras and Representation Theory, ISSN 1386-923X, 2/2019, Volume 22, Issue 1, pp. 99 - 140
...). For this purpose we realize a tubular algebra Λ, controlling the category S ( 6 ~ ) $\mathcal {S}(\tilde {6})$ , as an endomorphism algebra of a suitable tilting bundle over a weighted projective line of type... 
Dimension vector | Tilting bundle | Invariant subspace | 14F05 | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | 15A04 | 16G20 | Telescoping functor | Weighted projective line | Mono-epi-type | Associative Rings and Algebras | Interval multiplicity vector | Submodule category | 16G30 | 47A15 | 16D70 | Nilpotent operator | Tubular algebra | 16G70 | Exceptional object | Mono-epi representation | Coherent sheaf | CATEGORIES | MATHEMATICS | MODULES | Computer science | Telescope | Algebra
Journal Article
Journal of Symplectic Geometry, ISSN 1527-5256, 2012, Volume 10, Issue 2, pp. 203 - 223
Symplectic forms taming complex structures on compact manifolds are strictly related to Hermitian metrics having the fundamental form partial derivative... 
MATHEMATICS | BUNDLES | MODELS | INVARIANT | NILPOTENT LIE-GROUPS | MANIFOLDS | SOLVMANIFOLDS | CONNECTIONS | COMPLEX STRUCTURES | NILMANIFOLDS | GEOMETRY
Journal Article
Advances in mathematics (New York. 1965), ISSN 0001-8708, 10/2020, Volume 372, p. 107295
...-equivariant coherent sheaves associated to finite dimensional kτ-modules M. These coherent sheaves are algebraic vector bundles on Uτ... 
Universal p-nilpotent operator | Vector bundles associated to modular representations
Journal Article
Proceedings of the Japan Academy Series A: Mathematical Sciences, ISSN 0386-2194, 2003, Volume 79, Issue 4, pp. 76 - 79
Journal Article
Journal of Algebra, ISSN 0021-8693, 2009, Volume 321, Issue 12, pp. 3790 - 3815
...” versions of Lusztig's q-analog of weight multiplicity. Along the way we also generalize results of Broer on cohomology vanishing of bundles on cotangent bundles of partial flag varieties... 
Flag variety | [formula omitted]-triple | Cotangent bundle cohomology | Brylinski–Kostant filtration | Kazhdan–Lusztig polynomial | sl | triple | Kazhdan-Lusztig polynomial | Brylinski-Kostant filtration | MATHEMATICS | BUNDLES | REPRESENTATIONS | NORMALITY | NILPOTENT VARIETIES | CLOSURES | LIE GROUP | sl-triple
Journal Article
10/2018, ISBN 0198802021, Volume 2
.... This gives information on the irreducible components of the nilpotent cone of GLn-Higgs bundles and of moduli of systems of Hodge bundles on curves... 
Semi-stable chain | Hodge bundle | Higgs bundle | Moduli space | Nilpotent cone
Book Chapter
European Journal of Mathematics, ISSN 2199-675X, 03/2017, Volume 3, Issue 1
Journal Article
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