This is a list of some of the ordinary and generalized (or extraordinary) homology and cohomology theories in algebraic topology that are defined on the...
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mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...
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Homology (mathematics) (redirect from Homology theories)
related notion of the cohomology of a cochain complex, giving rise to various cohomology theories, in addition to the notion of the cohomology of a topological...
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theorem Cohomology List of cohomology theories Cocycle class Cup product Cohomology ring De Rham cohomology Čech cohomology Alexander–Spanier cohomology Intersection...
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complex oriented cohomology theory whose associated formal group law is p-typical. List of cohomology theories#Brown–Peterson cohomology Adams, J. Frank...
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cohomology theories List of commutative algebra topics List of homological algebra topics List of group theory topics List of representation theory topics...
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In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential...
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Complex cobordism (section Brown–Peterson cohomology)
often instead of using it directly one uses some slightly weaker theories derived from it, such as Brown–Peterson cohomology or Morava K-theory, that are...
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In mathematics, cohomology with compact support refers to certain cohomology theories, usually with some condition requiring that cocycles should have...
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algebra? Goncharov conjecture on the cohomology of certain motivic complexes. Green's conjecture: the Clifford index of a non-hyperelliptic curve is determined...
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Cobordism (redirect from Cobordism theory)
study of high-dimensional manifolds, namely surgery theory. In algebraic topology, cobordism theories are fundamental extraordinary cohomology theories, and...
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principle Hasse–Minkowski theorem Galois module Galois cohomology Brauer group Class field theory Abelian extension Kronecker–Weber theorem Hilbert class...
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topology and algebraic geometry, a quantum cohomology ring is an extension of the ordinary cohomology ring of a closed symplectic manifold. It comes in...
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topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometry, it is referred to as algebraic K-theory. It is also a...
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sought-after étale cohomology (as well as other refined theories such as flat cohomology and crystalline cohomology). At this point—about 1964—the developments powered...
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list of mathematical theories. Almgren–Pitts min-max theory Approximation theory Arakelov theory Asymptotic theory Automata theory Bass–Serre theory Bifurcation...
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Eichler–Shimura isomorphism (redirect from Eichler cohomology)
In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by...
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Spectrum (topology) (redirect from Spectrum (homotopy theory))
topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. Every such cohomology theory is representable,...
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Alexander Grothendieck (category German people of Russian-Jewish descent)
algebraic de Rham cohomology to complement it. Closely linked to these cohomology theories, he originated topos theory as a generalisation of topology (relevant...
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The following is a list of topics named after Évariste Galois (1811–1832), a French mathematician. Galois closure Galois cohomology Galois connection Galois...
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Miller, Haynes (2000). "Leray in Oflag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences" (ps). Archived from the original...
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Singular homology (redirect from Singular theory)
reduction of the cohomology), notably the Steenrod algebra structure. Since the number of homology theories has become large (see Category:Homology theory), the...
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vector cohomology Monsky–Washnitzer cohomology Infinitesimal cohomology Crystalline cohomology Rigid cohomology p-adic Hodge theory Étale cohomology, taking...
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mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ-adic cohomology with compact support...
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Norm residue isomorphism theorem (category Algebraic K-theory)
K-theory and Galois cohomology. The result has a relatively elementary formulation and at the same time represents the key juncture in the proofs of many...
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'non-commutative' theories which extend first cohomology as torsors (important in Galois cohomology). In the context of group theory, a sequence G 0 →...
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dynamical systems theory, topological field theories, stochastic differential equations (SDE), and the theory of pseudo-Hermitian operators. It can be seen...
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John Tate (mathematician) (category Members of the French Academy of Sciences)
theory. Together with his advisor Emil Artin, Tate gave a cohomological treatment of global class field theory using techniques of group cohomology applied...
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Jean-Pierre Serre (category Foreign associates of the National Academy of Sciences)
construct more general and refined cohomology theories to tackle the Weil conjectures. The problem was that the cohomology of a coherent sheaf over a finite...
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other new SPT states protected by other symmetries. A list of bosonic SPT states from group cohomology H d + 1 [ G , U ( 1 ) ] ⊕ k = 1 d H k [ G , i T O d...
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