cohomology
21L² cohomology — In mathematics, L2 cohomology is a cohomology theory for smooth non compact manifolds M with Riemannian metric. It defined in the same way as de Rham cohomology except that one uses square integrable differential forms. The notion of square… …
22Dolbeault cohomology — In mathematics, in particular in algebraic geometry and differential geometry, Dolbeault cohomology (named after Pierre Dolbeault) is an analog of de Rham cohomology for complex manifolds. Let M be a complex manifold. Then the Dolbeault… …
23Deligne cohomology — In mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold. It was introduced by Pierre Deligne in unpublished work in about 1972 as a cohomology theory for algebraic varieties that includes both… …
24Galois cohomology — In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups. A Galois group G associated to a field extension L / K acts in a natural way… …
25Monsky–Washnitzer cohomology — In algebraic geometry, Monsky–Washnitzer cohomology is a p adic cohomology theory defined for non singular affine varieties over fields of positive characteristic p introduced by Monsky and Washnitzer (1968) and Monsky (1968), who were… …
26Equivariant cohomology — In mathematics, equivariant cohomology is a theory from algebraic topology which applies to spaces with a group action . It can be viewed as a common generalization of group cohomology and an ordinary cohomology theory. Specifically, given a… …
27Local cohomology — In mathematics, local cohomology is a chapter of homological algebra and sheaf theory introduced into algebraic geometry by Alexander Grothendieck. He developed it in seminars in 1961 at Harvard University, and 1961 2 at IHES. It was later… …
28Elliptic cohomology — defines a cohomology theory in the sense of algebraic topology. This term may refer to several different, though closely related, constructions, such as topological modular forms (i.e., tmf) or more classically a periodic ring spectrum equipped… …
29Brown–Peterson cohomology — In mathematics, Brown–Peterson cohomology is a generalized cohomology theory introduced byharvtxt|Brown|Peterson|1966, depending on a choice of prime p . It is described in detail by harvtxt|Ravenel|2003|loc=Chapter 4.Its spectrum is usually… …
30Alexander-Spanier cohomology — In mathematics, particularly in algebraic topology Alexander Spanier cohomology is a cohomology theory arising from differential forms with compact support on a manifold. It is similar to and in some sense dual to de Rham cohomology. It is named… …
