cohomology


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cohomology

(ˌkəʊhəˈmɒlədʒɪ)
n
the abstract study of algebraic topology
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Using group cohomology techniques we will establish a theoretical framework for topological phonons in three dimensions.
Prerequisites are algebraic geometry, algebraic number theory, and some group cohomology.
In the study of mod p cohomology of the classifying space of a simply-connected, simple, compact connected Lie group G, Stiefel-Whitney classes and Chern classes play an important role.
The combinatorics of the bar resolution in group cohomology.
More specifically, the conjecture says that certain de Rham cohomology classes are algebraic; that is, they are sums of Poincare duals of the homology classes of subvarieties.
The preliminary chapters discuss singularity theory for KAM tori, review methodology and present a flow chart of the monograph, and present notation, geometric and analytic background, symplectic deformations, and cohomology equations.
Quantum cohomology grew out of explorations in string theory in the early 1990s.
P](X,Z) denote the reduced Cech cohomology group of X in dimension p with coefficients in Z.
Among the topics are upper bounds for the Whitehead-length of mapping spaces, the rational homotopy of symmetric products and spaces of finite subsets, the triviality of adjount bundles, spaces of algebraic maps from real projective spaces into complex projective spaces, the rational cohomology of the total space of the universal fibration with an elliptic fibre, and the localization of group-like function and section spaces with compact domain.
Borel, Cohomology des espaces localement compacts d'apres J.
17] Liliana Maxim-Raileanu: Cohomology of Lie algebroids, An.