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...

mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...

theorem Cohomology List of cohomology theories Cocycle class Cup product Cohomology ring De Rham cohomology Čech cohomology Alexander–Spanier cohomology Intersection...

cohomology theories List of commutative algebra topics List of homological algebra topics List of group theory topics List of representation theory topics...

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...

This is a list of mathematical theories. Almgren–Pitts min-max theory Approximation theory Arakelov theory Artin–Schreier theory Asymptotic theory Automata...

dimension Homotopy group Künneth theorem List of cohomology theories - also has a list of homology theories Poincaré duality Stillwell 1993, p. 170 Weibel...

In mathematics, cohomology with compact support refers to certain cohomology theories, usually with some condition requiring that cocycles should have...

complex oriented cohomology theory whose associated formal group law is p-typical. List of cohomology theories#Brown–Peterson cohomology Adams, J. Frank...

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...

study of high-dimensional manifolds, namely surgery theory. In algebraic topology, cobordism theories are fundamental extraordinary cohomology theories, and...

topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. Every such cohomology theory is representable,...

algebra? Goncharov conjecture on the cohomology of certain motivic complexes. Green's conjecture: the Clifford index of a non-hyperelliptic curve is determined...

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...

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...

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...

boundary. As these theories are Schwarz-type topological theories, no metric needs to be introduced on M. Chern–Simons theory is a gauge theory, which means...

In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by...

vector cohomology Monsky–Washnitzer cohomology Infinitesimal cohomology Crystalline cohomology Rigid cohomology p-adic Hodge theory Étale cohomology, taking...

principle Hasse–Minkowski theorem Galois module Galois cohomology Brauer group Class field theory Abelian extension Kronecker–Weber theorem Hilbert class...

algebraic de Rham cohomology to complement it. Closely linked to these cohomology theories, he originated topos theory as a generalisation of topology (relevant...

reduction of the cohomology), notably the Steenrod algebra structure. Since the number of homology theories has become large (see Category:Homology theory), the...

mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ-adic cohomology with compact support...

the theory has no dynamics. Instead, all observables depend on the topology of a configuration. Such theories are known as topological theories. Classically...

product of groups Direct sum of groups Extension problem Free abelian group Free group Free product Generating set of a group Group cohomology Group extension...

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...

class is a modular form of weight 2k, with integral Fourier coefficients. Atiyah–Singer index theorem List of cohomology theories McTague, Carl (2014) "Computing...

geometry to string theory and related theories such as supersymmetric Yang-Mills theories in order to develop models for heterotic string theory from suitable...

The following is a list of topics named after Évariste Galois (1811–1832), a French mathematician. Galois closure Galois cohomology Galois connection Galois...

these cohomology theories. Some of these cohomology theories, in particular complex cobordism, turned out to be some of the most powerful cohomology theories...