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Pontrjagin product

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  • Indefinite inner product space — In mathematics, in the field of functional analysis, an indefinite inner product space :(K, langle cdot,,cdot angle, J) is an infinite dimensional complex vector space K equipped with both an indefinite inner product :langle cdot,,cdot angle and… …   Wikipedia

  • Mukai-Fourier transform — The Mukai Fourier transform is a transformation used in algebraic geometry. It is somewhat analogous to the classical Fourier transform used in analysis.DefinitionLet X be an abelian variety and hat X be its dual variety. We denote by mathcal P… …   Wikipedia

  • Fourier–Mukai transform — The Fourier–Mukai transform or Mukai–Fourier transform is a transformation used in algebraic geometry. It is somewhat analogous to the classical Fourier transform used in analysis.[clarification needed] Definition Let X be an abelian variety and… …   Wikipedia

  • Cobordism — A cobordism (W;M,N). In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold. Two manifolds are cobordant if their disjoint… …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

  • Kreinräume — In der Funktionalanalysis ist ein Kreinraum (nach Mark Krein) ein Hilbertraum mit einer abgeschwächten Struktur: einem i.A. indefiniten inneren Produkt anstelle des üblichen Skalarprodukts. Eine genaue Definition findet sich weiter unten. In… …   Deutsch Wikipedia

  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   Wikipedia

  • Signature operator — Let X be a 4k dimensional compact Riemannian manifold. The signature operator is a elliptic differential operator defined on a subspace of the space of differential forms on X , whose analytic index is the same as the topological signature of the …   Wikipedia

  • Kreinraum — In der Funktionalanalysis ist ein Kreinraum (nach Mark Krein) ein Hilbertraum mit einer abgeschwächten Struktur: einem i.A. indefiniten inneren Produkt anstelle des üblichen Skalarprodukts. Eine genaue Definition findet sich weiter unten. In… …   Deutsch Wikipedia

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