On fuzzy subbundles of vector bundles by V. Murali, G. Lubczonok

“…This paper considers fuzzy subbundles of a vector bundle. We define the operations sum, product, tensor product, Hom, and intersection of fuzzy subbundles and in each case, we characterize the corresponding flag of vector subbundles. …”
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Connections on trivial vector bundles over projective schemes by Biswas, Indranil, Hô Hai, Phùng, dos Santos, Joao Pedro

“…In this paper, we employ a completely algebraic variation of this idea by restricting attention to connections on trivial vector bundles and replacing the fundamental group by a certain Lie algebra constructed from the regular forms. …”
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Mirror symmetry for concavex vector bundles on projective spaces by Artur Elezi

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Moduli of rank 2 vector bundles over a curve by Zhang, Xucheng

Subjects: “…Vector bundles…”
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Vector bundles over three-dimensional spherical space forms by Esdras Teixeira Costa, Oziride Manzoli Neto, Mauro Spreafico

“…We consider the problem of enumerating the G-bundles over low-dimensional manifolds (dimension ≤3) and in particular vector bundles over the three-dimensional spherical space forms. …”
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Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds by Deng, Fusheng, Ning, Jiafu, Wang, Zhiwei, Zhou, Xiangyu

“…We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. …”
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On the Poisson transform on a homogenous vector bundle over the quaternionic hyperbolic space by Ouald Chaib, Achraf

“…Let $K\times _M V$ be the homogenous vector bundle over $K/M=Sp(n)\times Sp(1)/Sp(n-1)\times Sp(1)$ associated to an irreducible representation $(\delta _{\nu }, V)$ of Sp(1). …”
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An application of stress energy tensor to the vanishing theorem of differential forms by Kairen Cai

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Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory by Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu

“…For both cases, the pair is given by two dual vector bundles, and the Drinfel’d double yields a Courant algebroid. …”
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Combinatorics in N = 1 Heterotic Vacua by Seung-Joo Lee

“…We briefly review an algorithmic strategy to explore the landscape of heterotic E 8 × E 8 vacua, in the context of compactifying smooth Calabi-Yau threefolds with vector bundles. The Calabi-Yau threefolds are algebraically realised as hypersurfaces in toric varieties, and a large class of vector bundles are constructed thereon as monads. …”
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On Gromov's theorem and L 2-Hodge decomposition by Fu-Zhou Gong, Feng-Yu Wang

“…Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type operators on Riemannian vector bundles. Consequently, explicit upper bounds are obtained for the dimension of the corresponding L 2-harmonic sections. …”
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An Approach to Classical Quantum Field Theory Based on the Geometry of Locally Conformally Flat Space-Time by John Mashford

“…Fermion fields are associated with sections of vector bundles associated with the principal bundles while interaction fields (bosons) are associated with endomorphisms of the space of fermion fields. …”
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Simplicity of Tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve by Choe, Insong, H. Hitching, George, Hong, Jaehyun

“…Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a curve. In this paper, we use the tangent maps of the symplectic and orthogonal Hecke curves to prove an analogous result for symplectic and orthogonal bundles. …”
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A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves by Álvaro Antón-Sancho

“…For this purpose, a family of vector bundles was constructed in which a 3-form and a 2-form were defined so that it was proved that they were strictly polystable principal $ G_2 $-bundles. …”
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EULER CHARACTERISTIC OF TANGO BUNDLES by Hong Cong Nguyen, Tuan Hiep Dang, Thi Mai Van Nguyen

“…We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\). …”
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Bigness of the tangent bundles of projective bundles over curves by Kim, Jeong-Seop

“…In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.…”
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Differential Calculus on N-Graded Manifolds by G. Sardanashvily, W. Wachowski

“…A key point is that the graded derivation module of the structure ring of graded functions on an N-graded manifold is the structure ring of global sections of a certain smooth vector bundle over its body Z. Accordingly, the Chevalley–Eilenberg differential calculus on an N-graded manifold provides it with the de Rham complex of graded differential forms. …”
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