Line bundles with $ c_{1} (L)^{2} = 0 $. A six dimensional example

Stefano De Michelis

Displaying similar documents to “Line bundles with $c_{1} {(L)}^{2} = 0$ . A six dimensional example”

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.

Line bundles with $c_{1} {(L)}^{2} = 0$ . Higher order obstruction

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 study secondary obstructions to representing a line bundle as the pull-back of a line bundle on $S^{2}$ and we interpret them geometrically.

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.

On S(2) and S(2) · S(1) structures in 8-dimensional vector bundles.

Martin Cadek, Jirí Vanzura (1997)

Publicacions Matemàtiques

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Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to S(2) or S(2) · S(1) if and only if the vector bundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an S(2)- structure in ξ over a closed connected spin manifold of dimension 8 are also given in terms of characteristic classes. ...

Varieties with generically nef tangent bundles

Thomas Peternell (2012)

Journal of the European Mathematical Society

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We study various "generic" nefness and ampleness notions for holomorphic vector bundles on a projective manifold. We apply this in particular to the tangent bundle and investigate the relation to the geometry of the manifold.

Total spaces of circle bundles over lens spaces

Thornton, M.C. (1974)

Portugaliae mathematica

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${Spin}^{c}$ -structures and homotopy equivalences.

Gompf, Robert E. (1997)

Geometry & Topology

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A global characterization of jet bundles of $p^{1}$ -velocities and covelocities

Manuel De León, Eugenic Merino, José A. Oubiña, Modesto Salgado (1995)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Displaying similar documents to “Line bundles with c 1 ⁢ L 2 = 0 . A six dimensional example”

Displaying similar documents to “Line bundles with $c_{1} {(L)}^{2} = 0$ . A six dimensional example”