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Publication

Distortion of Mappings and $L_{q,p}$-Cohomology

Marc Troyanov
2009
Journal Articles

Résumé

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the $L_{q,p}$ -cohomology of these manifolds. Some applications to vanishing and non vanishing results in $L_{q,p}$ -cohomology are given.

Source officielle

Marc Troyanov
2009
Journal Articles

Résumé

Source officielle

Concepts associés (32)

Kodaira vanishing theorem

In mathematics, the Kodaira vanishing theorem is a basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. The implications for the group with index q = 0 is usually that its dimension — the number of independent global sections — coincides with a holomorphic Euler characteristic that can be computed using the Hirzebruch–Riemann–Roch theorem.

Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewed as a method of assigning richer algebraic invariants to a space than homology. Some versions of cohomology arise by dualizing the construction of homology. In other words, cochains are functions on the group of chains in homology theory.

Relation binaire

En mathématiques, une relation binaire entre deux ensembles E et F (ou simplement relation entre E et F) est définie par un sous-ensemble du produit cartésien E × F, soit une collection de couples dont la première composante est dans E et la seconde dans F. Cette collection est désignée par le graphe de la relation. Les composantes d'un couple appartenant au graphe d'une relation R sont dits en relation par R. Une relation binaire est parfois appelée correspondance entre les deux ensembles.

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Publications associées (30)

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Distortion of Mappings and $L_{q,p}$-Cohomology

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