منابع مشابه
Cokernel Bundles and Fibonacci Bundles
We are interested in those bundles on P that admits a resolution of the form 0 → C ⊗ E φ −→ C t ⊗ F → C → 0. In this paper we prove that, under suitable conditions on E, F , a generic bundle with this form is either simple, or canonically decomposable. As applications we provide an easy criterion for the stability of such bundles on P and we prove the stability of all Steiner exceptional bundle...
متن کاملLocally trivial quantum vector bundles and associated vector bundles
We define locally trivial quantum vector bundles (QVB) and construct such QVB associated to locally trivial quantum principal fibre bundles. The construction is quite analogous to the classical construction of associated bundles. A covering of such bundles is induced from the covering of the subalgebra of coinvariant elements of the principal bundle. There exists a differential structure on the...
متن کاملSmooth Loops and Fiber Bundles: Theory of Principal Q-bundles
During the last few decades, nonassociative structures have been employed in various fields of modern physics. Among others, one may mention the rise of nonassociative objects such as 3-cocycles, which are linked with violations of the Jacobi identity in anomalous quantum field theory, and quantum mechanics with the Dirac monopole, the appearance of Lie groupoids and algebroids in the context o...
متن کاملHecke transformation for orthogonal bundles and stability of Picard bundles
Given a holomorphic vector bundle F over a compact Riemann surface X, and a subspace Sx ⊂ Fx in the fiber over a point x, the Hecke transformation produces a new vector bundle E on X [10, 16]. The vector bundle E is the kernel of the natural quotient map F −→ Fx/Sx. Hecke transformation is a very useful tool to study the moduli space. For instance, they are used in computation of cohomologies o...
متن کاملConditions for Nonnegative Curvature on Vector Bundles and Sphere Bundles
This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a complete metric of nonnegative curvature, and relates their question to the issue of which sphere bundles admit a metric of positive curvature. We show that any vector bundle which admits a metric of nonnegative curvature must admit a connection, a tensor, and a metric on the base space which together satisfy a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2008
ISSN: 0025-584X,1522-2616
DOI: 10.1002/mana.200510620