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Let $X$ be a smooth projective surface, $K$ the canonical divisor, $H$ a very ample divisor and $M_{H} (c_{1}, c_{2})$ the moduli space of rank-two vector bundles, $H$ -stable with Chern classes $c_{1}$ and $c_{2}$ . We prove that, if there exists $c_{1}^{'}$ such that $c_{1}$ is numerically equivalent to $2 c_{1}^{'}$ and if $c_{2} - \frac{1}{4} c_{1}^{2}$ is even, greater or equal to $H^{2} + H K + 4$ , then there is no Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ . Conversely, if there exists $c_{1}^{'}$ such that the number $c_{1}^{'} \cdot c_{1}$ is odd or if $\frac{1}{2} c_{1}^{2} - \frac{1}{2} c_{1} \cdot K - c_{2}$ is odd, then there exists a Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ .

Pontrjagin forms of quaternion manifolds.

Vasile Oproiu (1984)

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

Si dimostra che per le varietà a struttura quaternionale generalizzata integrabile, le classi di Pontrjagin sono generate dalle classi di Pontrjagin del fibrato vettoriale fondamentale.

Pontryagin Forms for Manifolds with Framed Singular Strata.

H. Moscovici, F.-B. Wu (1995)

Geometric and functional analysis

Pontryagin forms on homogeneous spaces.

Allen Back (1982)

Commentarii mathematici Helvetici

Positive Vector Bundles on Complex Surfaces.

Michael Schneider, A. Tancredi (1985)

Manuscripta mathematica

Premières formes de Chern des variétés kählériennes compactes

Jean-Pierre Bourguignon (1977/1978)

Séminaire Bourbaki

Quantum classifying spaces and universal quantum characteristic classes

Mićo Đurđević (1997)

Banach Center Publications

A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to defining universal characteristic classes are outlined.

Quantum principal bundles and their characteristic classes

Mićo Đurđević (1997)

Banach Center Publications

A general theory of characteristic classes of quantum principal bundles is presented, incorporating basic ideas of classical Weil theory into the conceptual framework of noncommutative differential geometry. A purely cohomological interpretation of the Weil homomorphism is given, together with a geometrical interpretation via quantum invariant polynomials. A natural spectral sequence is described. Some interesting quantum phenomena appearing in the formalism are discussed.

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Displaying 221 – 240 of 346

On Verdier's specialization formula for Chern classes.

Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.

Parallelizability of Homogeneous Spaces, II.

Parallelizability of Homogeneous Spaces, II (Erratum).

Periodische Abbildungen unitärer Mannigfaltigkeiten.

PGL (4) acts transitively on M (-1,2).

Poincaré bundles for projective surfaces

Pontrjagin forms of quaternion manifolds.

Pontryagin Forms for Manifolds with Framed Singular Strata.

Pontryagin forms on homogeneous spaces.

Positive Vector Bundles on Complex Surfaces.

Premières formes de Chern des variétés kählériennes compactes

Quantum classifying spaces and universal quantum characteristic classes

Quantum principal bundles and their characteristic classes

Quelques problèmes de classes caractéristiques secondaires

Quelques remarques sur les feuilletages affines

Quillen metrics and higher analytic torsion forms.

Rank 2 Stable Vector Bundles on IP3 (...) with Chern Classes c1 = -1, c2 = 4.

Rank 2 vector bundles on P4 with c1 odd and contact curves.

Real embeddings and eta invariants.

Currently displaying 221 – 240 of 346