- Chern character
- Математика: характер Чжэня
Универсальный англо-русский словарь. Академик.ру. 2011.
Chern character
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Chern class — In mathematics, in particular in algebraic topology and differential geometry, the Chern classes are characteristic classes associated to complex vector bundles. Chern classes were introduced by Shiing Shen Chern (1946). Contents 1 Basic… … Wikipedia
Hirzebruch–Riemann–Roch theorem — In mathematics, the Hirzebruch–Riemann–Roch theorem, named after Friedrich Hirzebruch, Bernhard Riemann, and Gustav Roch, is Hirzebruch s 1954 result contributing to the Riemann–Roch problem for complex algebraic varieties of all dimensions. It… … Wikipedia
Bundle gerbe — In mathematics, a bundle gerbe is a geometrical model of certain 1 gerbes with connection, or equivalently of a 2 class in Deligne cohomology. Topology U (1) principal bundles over a space M (see circle bundle) are geometrical realizations of 1… … Wikipedia
Arakelov theory — (or Arakelov geometry) is an approach to diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. BackgroundArakelov geometry studies a scheme X over the ring of integers Z, by putting… … Wikipedia
Ramond-Ramond field — In theoretical physics, Ramond Ramond fields are differential form fields in the 10 dimensional spacetime of type II supergravity theories, which are the classical limits of type II string theory. The ranks of the fields depend on which type II… … Wikipedia
Grothendieck–Hirzebruch–Riemann–Roch theorem — In mathematics, specifically in algebraic geometry, the Grothendieck–Riemann–Roch theorem is a far reaching result on coherent cohomology. It is a generalisation of the Hirzebruch–Riemann–Roch theorem, about complex manifolds, which is itself a… … Wikipedia
Noncommutative geometry — Not to be confused with Anabelian geometry. Noncommutative geometry (NCG) is a branch of mathematics concerned with geometric approach to noncommutative algebras, and with construction of spaces which are locally presented by noncommutative… … Wikipedia
Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) … Wikipedia
K-theory (physics) — In string theory, the K theory classification refers to a conjectured application of K theory (in abstract algebra and algebraic topology) to superstrings, to classify the allowed Ramond Ramond field strengths as well as the charges of stable D… … Wikipedia
Riemann–Roch theorem for surfaces — In mathematics, the Riemann–Roch theorem for surfaces describes the dimension of linear systems on an algebraic surface. The classical form of it was first given by Castelnuovo (1896, 1897), after preliminary versions of it were found by… … Wikipedia
Théorème de l'indice — En mathématiques, et plus précisément en géométrie différentielle, le théorème de l indice d Atiyah–Singer, démontré par Michael Atiyah et Isadore Singer en 1963, affirme que pour un opérateur différentiel elliptique sur une variété… … Wikipédia en Français
