Results 1 to 10 of about 5,415 (69)
The Atiyah class of generalized holomorphic vector bundles
Differential Geometry and its Applications, 2023 We introduce the notion of Atiyah class of a generalized holomorphic vector bundle, which captures the obstruction to the existence of generalized holomorphic connections on the bundle. As in the classical holomorphic case, this Atiyah class can be defined in three different ways: using Čech cohomology, using the first-jet short exact sequence, or ...
Lang, Honglei, Jia, Xiao, Liu, Zhangju
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Cohomological Yang-Mills Theories on Kahler 3-Folds [PDF]
, 2000 We study topological gauge theories with N=(2,0) supersymmetry based on stable bundles on general Kahler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual holomorphic bundle ...
Acharya +36 more
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The openness conjecture and complex Brunn-Minkowski inequalities [PDF]
, 2014 We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\'ar.Comment: This is an account of the results in arXiv:1305.5781 together with some background ...
B. Berndtsson +13 more
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Toric Geometry and String Theory Descriptions of Qudit Systems [PDF]
, 2015 In this paper, we propose a new way to approach qudit systems using toric geometry and related topics including the local mirror symmetry used in the string theory compactification.
Adil Belhaj +6 more
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International Mathematics Research Notices, 2023 Abstract In this paper, we establish the Kobayashi–Hitchin correspondence, that is, the equivalence of the existence of an Einstein–Hermitian metric and $\psi $-polystability of a generalized holomorphic vector bundle over a compact generalized Kähler manifold of symplectic type. Poisson modules provide intriguing generalized holomorphic
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Generalized Demailly–Semple jet bundles and holomorphic mappings into complex manifolds
Journal de Mathématiques Pures et Appliquées, 2011 31 ...
Pacienza, Gianluca, Rousseau, Erwan
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Injectivity theorem for pseudo-effective line bundles and its applications [PDF]
, 2017 We formulate and establish a generalization of Koll'ar's injectivity theorem for adjoint bundles twisted by a suitable multiplier ideal sheaf. As applications, we generalize Koll'ar's vanishing theorem, Koll'ar's torsion-freeness, generic vanishing ...
Fujino, Osamu, Matsumura, Shin-ichi
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Balanced Topological Field Theories [PDF]
, 1996 We describe a class of topological field theories called ``balanced topological field theories.'' These theories are associated to moduli problems with vanishing virtual dimension and calculate the Euler character of various moduli spaces.
Dijkgraaf, R., Moore, G.
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Estimates of the number of rational mappings from a fixed variety to varieties of general type [PDF]
, 1997 First we find effective bounds for the number of dominant rational maps $f:X \rightarrow Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type $\{A \cdot K_X^n\}^{\{B \cdot K_X^n\}^2}$, where $n=dimX$, $
Bandman, T., Dethloff, G.
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Supersymmetric quantum theory and (non-commutative) differential geometry [PDF]
, 1996 We reconsider differential geometry from the point of view of the quantum theory of non-relativistic spinning particles, which provides examples of supersymmetric quantum mechanics.
Froehlich, J. +2 more
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