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Displaying 301 – 320 of 346

The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids

Jan Kubarski (2006)

Czechoslovak Mathematical Journal

This paper is a continuation of [19], [21], [22]. We study flat connections with isolated singularities in some transitive Lie algebroids for which either $ℝ$ or $s l (2, ℝ)$ or $so (3)$ are isotropy Lie algebras. Under the assumption that the dimension of the isotropy Lie algebra is equal to $n + 1$ , where $n$ is the dimension of the base manifold, we assign to any such isolated singularity a real number called an index. For $ℝ$ -Lie algebroids, this index cannot be an integer. We prove the index theorem (the Euler-Poincaré-Hopf...

The existence of algebraic surfaces with preassigned Chern numbers.

Zhijie Chen (1991)

Mathematische Zeitschrift

The height of the first Stiefel-Whitney class of any nonorientable real flag manifold

Juraj Lörinc (2003)

Mathematica Slovaca

The Hilbert modular group, resolution of the singularities at the cusps and related problems

F. Hirzebruch (1970/1971)

Séminaire Bourbaki

The Hörmander and Maslov classes and Fomenko's conjecture.

Tevdoradze, Z. (1997)

Georgian Mathematical Journal

The index of signature operators on Lipschitz manifolds

Nicolae Teleman (1983)

Publications Mathématiques de l'IHÉS

The Irregularities of Hirzebruch's Examples of Surfaces of General Type with c21= 3c2 .

Masa-Nori Ishida (1983)

Mathematische Annalen

The linking number of singular maps.

András Szücs (1986)

Commentarii mathematici Helvetici

The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.

Yoichi Miyaoka (1984)

Mathematische Annalen

The Moduli of Super-Null-Correlation Bundles on IP3.

Valery Vedernikov (1986)

Mathematische Annalen

The Mumford conjecture

Geoffrey Powell (2004/2005)

Séminaire Bourbaki

The Mumford Conjecture asserts that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra on the Mumford-Morita-Miller characteristic classes; this can be reformulated in terms of the classifying space $B Γ_{\infty}$ derived from the mapping class groups. The conjecture admits a topological generalization, inspired by Tillmann’s theorem that $B Γ_{\infty}$ admits an infinite loop space structure after applying Quillen’s plus construction. The text presents the proof by Madsen and...

Currently displaying 301 – 320 of 346

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Displaying 301 – 320 of 346

The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids

The existence of algebraic surfaces with preassigned Chern numbers.

The height of the first Stiefel-Whitney class of any nonorientable real flag manifold

The Hilbert modular group, resolution of the singularities at the cusps and related problems

The Hörmander and Maslov classes and Fomenko's conjecture.

The index of signature operators on Lipschitz manifolds

The Irregularities of Hirzebruch's Examples of Surfaces of General Type with c21= 3c2 .

The linking number of singular maps.

The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.

The Moduli of Super-Null-Correlation Bundles on IP3.

The Mumford conjecture

The Novikov conjecture and low-dimensional topology.

The Positvity of the Chern Classes of an Ample Vector Bundle.

The Signature mod 8

The Signature of Quasi-Nilpotent Fiber Bundles

The Surgery of Lagrange Submanifolds.

The Weakly Neighborly Polyhedral Maps on the 2-Manifold with Euler Characteristic -1.

Théorème de Gauß-Bonnet et géométrie non commutative

TheStructure of Nearly Kähler Manifolds.

Three-manifolds and the Temperley-Lieb algebra.

Currently displaying 301 – 320 of 346