Faster access than browser!Similarities between Chern class and Cohomology
Chern class and Cohomology have 32 things in common (in Unionpedia): Abelian group, Alexander Grothendieck, Algebraic geometry, Algebraic topology, Étale cohomology, Cap product, Characteristic class, Cobordism, Compact space, Complex projective space, Continuous function, De Rham cohomology, Differentiable manifold, Euler class, Exact sequence, Formal group law, Fundamental class, Hassler Whitney, Holomorphic function, Homotopy, Hyperplane, Integer, K-theory, Manifold, Mathematics, Orientability, Poincaré duality, Pontryagin class, Springer Science+Business Media, Stiefel–Whitney class, ..., Topological space, Vector bundle. Expand index (2 more) »
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Chern class · Abelian group and Cohomology ·
Alexander Grothendieck
Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry.
Alexander Grothendieck and Chern class · Alexander Grothendieck and Cohomology ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Chern class · Algebraic geometry and Cohomology ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Chern class · Algebraic topology and Cohomology ·
Étale cohomology
In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil conjectures.
Étale cohomology and Chern class · Étale cohomology and Cohomology ·
Cap product
In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q ≤ p, to form a composite chain of degree p − q. It was introduced by Eduard Čech in 1936, and independently by Hassler Whitney in 1938.
Cap product and Chern class · Cap product and Cohomology ·
Characteristic class
In mathematics, a characteristic class is a way of associating to each principal bundle X a cohomology class of X. The cohomology class measures the extent the bundle is "twisted" — and whether it possesses sections.
Characteristic class and Chern class · Characteristic class and Cohomology ·
Cobordism
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 (French bord, giving cobordism) of a manifold.
Chern class and Cobordism · Cobordism and Cohomology ·
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
Chern class and Compact space · Cohomology and Compact space ·
Complex projective space
In mathematics, complex projective space is the projective space with respect to the field of complex numbers.
Chern class and Complex projective space · Cohomology and Complex projective space ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Chern class and Continuous function · Cohomology and Continuous function ·
De Rham cohomology
In mathematics, de Rham cohomology (after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapted to computation and the concrete representation of cohomology classes.
Chern class and De Rham cohomology · Cohomology and De Rham cohomology ·
Differentiable manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.
Chern class and Differentiable manifold · Cohomology and Differentiable manifold ·
Euler class
In mathematics, specifically in algebraic topology, the Euler class is a characteristic class of oriented, real vector bundles.
Chern class and Euler class · Cohomology and Euler class ·
Exact sequence
An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.
Chern class and Exact sequence · Cohomology and Exact sequence ·
Formal group law
In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group.
Chern class and Formal group law · Cohomology and Formal group law ·
Fundamental class
In mathematics, the fundamental class is a homology class associated to an oriented manifold M of dimension n, which corresponds to the generator of the homology group H_n(M;\mathbf)\cong\mathbf.
Chern class and Fundamental class · Cohomology and Fundamental class ·
Hassler Whitney
Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician.
Chern class and Hassler Whitney · Cohomology and Hassler Whitney ·
Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
Chern class and Holomorphic function · Cohomology and Holomorphic function ·
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.
Chern class and Homotopy · Cohomology and Homotopy ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
Chern class and Hyperplane · Cohomology and Hyperplane ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
Chern class and Integer · Cohomology and Integer ·
K-theory
In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme.
Chern class and K-theory · Cohomology and K-theory ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Chern class and Manifold · Cohomology and Manifold ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Chern class and Mathematics · Cohomology and Mathematics ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
Chern class and Orientability · Cohomology and Orientability ·
Poincaré duality
In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds.
Chern class and Poincaré duality · Cohomology and Poincaré duality ·
Pontryagin class
In mathematics, the Pontryagin classes, named for Lev Pontryagin, are certain characteristic classes.
Chern class and Pontryagin class · Cohomology and Pontryagin class ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Chern class and Springer Science+Business Media · Cohomology and Springer Science+Business Media ·
Stiefel–Whitney class
In mathematics, in particular in algebraic topology and differential geometry, the Stiefel–Whitney classes are a set of topological invariants of a real vector bundle that describe the obstructions to constructing everywhere independent sets of sections of the vector bundle.
Chern class and Stiefel–Whitney class · Cohomology and Stiefel–Whitney class ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Chern class and Topological space · Cohomology and Topological space ·
Vector bundle
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.
Chern class and Vector bundle · Cohomology and Vector bundle ·
The list above answers the following questions
- What Chern class and Cohomology have in common
- What are the similarities between Chern class and Cohomology
Chern class and Cohomology Comparison
Chern class has 100 relations, while Cohomology has 186. As they have in common 32, the Jaccard index is 11.19% = 32 / (100 + 186).
References
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