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

Stefano De Michelis — 1991

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

We exhibit a six dimensional manifold with a line bundle on it which is not the pullback of a bundle on $S^{2}$ .

On manifolds diffeomorphic on the complement of a point

Stefano De Michelis — 1991

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

We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.

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

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.

Group actions on rational homology spheres

Stefano De Michelis — 1991

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

We study the homology of the fixed point set on a rational homology sphere under the action of a finite group.

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

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.

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Currently displaying 1 – 5 of 5

Line bundles with c 1 ⁢ L 2 = 0 . A six dimensional example

On manifolds diffeomorphic on the complement of a point

Line bundles with c 1 ⁢ L 2 = 0 . Higher order obstruction

Group actions on rational homology spheres

Line bundles with c 1 ⁢ L 2 = 0

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

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

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