Trivial noncommutative principal torus bundles

Stefan Wagner

Displaying similar documents to “Trivial noncommutative principal torus bundles”

Natural affinors on the (r,s,q)-cotangent bundle of a fibered manifold

J. Kurek, W. M. Mikulski (2004)

Annales Polonici Mathematici

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For natural numbers r,s,q,m,n with s ≥ r ≤ q we describe all natural affinors on the (r,s,q)-cotangent bundle $T^{r, s, q *} Y$ over an (m,n)-dimensional fibered manifold Y.

Product preserving gauge bundle functors on vector bundles

Włodzimierz M. Mikulski (2001)

Colloquium Mathematicae

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A complete description is given of all product preserving gauge bundle functors F on vector bundles in terms of pairs (A,V) consisting of a Weil algebra A and an A-module V with $d i m_{ℝ} (V) < \infty$ . Some applications of this result are presented.

A criterion for virtual global generation

Indranil Biswas, A. J. Parameswaran (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $X$ be a smooth projective curve defined over an algebraically closed field $k$ , and let $F_{X}$ denote the absolute Frobenius morphism of $X$ when the characteristic of $k$ is positive. A vector bundle over $X$ is called virtually globally generated if its pull back, by some finite morphism to $X$ from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of $k$ is positive, a vector bundle $E$ over $X$ is virtually globally generated if and only...

On the fiber product preserving gauge bundle functors on vector bundles

Włodzimierz M. Mikulski (2003)

Annales Polonici Mathematici

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We present a complete description of all fiber product preserving gauge bundle functors F on the category $_{m}$ of vector bundles with m-dimensional bases and vector bundle maps with local diffeomorphisms as base maps. Some corollaries of this result are presented.

About $G$ -bundles over elliptic curves

Yves Laszlo (1998)

Annales de l'institut Fourier

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Let $G$ be a complex algebraic group, simple and simply connected, $T$ a maximal torus and $W$ the Weyl group. One shows that the coarse moduli space $M_{G} (X)$ parametrizing $S$ -equivalence classes of semistable $G$ -bundles over an elliptic curve $X$ is isomorphic to $[Γ (T) \otimes_{Z} X] / W$ . By a result of Looijenga, this shows that $M_{G} (X)$ is a weighted projective space.

On quasijet bundles

Tomáš, Jiří

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In this paper a Weil approach to quasijets is discussed. For given manifolds $M$ and $N$ , a quasijet with source $x \in M$ and target $y \in N$ is a mapping $T_{x}^{r} M \to T_{y}^{r} N$ which is a vector homomorphism for each one of the $r$ vector bundle structures of the iterated tangent bundle $T^{r}$ [, Casopis Pest. Mat. 111, No. 4, 345-352 (1986; Zbl 0611.58004)]. Let us denote by $Q J^{r} (M, N)$ the bundle of quasijets from $M$ to $N$ ; the space ${\tilde{J}}^{r} (M, N)$ of non-holonomic $r$ -jets from $M$ to $N$ is embeded into $Q J^{r} (M, N)$ . On the other hand, the bundle $Q T_{m}^{r} N$ of $(m, r)$ -quasivelocities...

Line bundles with $c_{1} {(L)}^{2} = 0$

Stefano De Michelis (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We prove that on a $C W$ -complex the obstruction for a line bundle $L$ to be the fractional power of a suitable pullback of the Hopf bundle on a 2-dimensional sphere is the vanishing of the square of the first Chern class of $L$ . On the other hand we show that if one looks at integral powers then further secondary obstructions exist.

Displaying similar documents to “Trivial noncommutative principal torus bundles”

Natural affinors on the (r,s,q)-cotangent bundle of a fibered manifold

Product preserving gauge bundle functors on vector bundles

A criterion for virtual global generation

On the fiber product preserving gauge bundle functors on vector bundles

About G -bundles over elliptic curves

On quasijet bundles

Line bundles with c 1 ⁢ L 2 = 0

About $G$ -bundles over elliptic curves

Line bundles with $c_{1} {(L)}^{2} = 0$