Faster access than browser!Similarities between Cohomology and Floer homology
Cohomology and Floer homology have 22 things in common (in Unionpedia): Abelian group, Birkhäuser, Cambridge University Press, Chain complex, Cobordism, Covering space, Cup product, Derived category, Differential form, Ext functor, Genus (mathematics), Homology (mathematics), Khovanov homology, Manifold, Mathematics, Poincaré duality, Principal bundle, Quantum cohomology, Singular homology, Spectrum (topology), Springer Science+Business Media, Topology.
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 Cohomology · Abelian group and Floer homology ·
Birkhäuser
Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.
Birkhäuser and Cohomology · Birkhäuser and Floer homology ·
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
Cambridge University Press and Cohomology · Cambridge University Press and Floer homology ·
Chain complex
In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between consecutive groups such that the image of each homomorphism is included in the kernel of the next.
Chain complex and Cohomology · Chain complex and Floer homology ·
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.
Cobordism and Cohomology · Cobordism and Floer homology ·
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.
Cohomology and Covering space · Covering space and Floer homology ·
Cup product
In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle of degree p + q. This defines an associative (and distributive) graded commutative product operation in cohomology, turning the cohomology of a space X into a graded ring, H∗(X), called the cohomology ring.
Cohomology and Cup product · Cup product and Floer homology ·
Derived category
In mathematics, the derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on A. The construction proceeds on the basis that the objects of D(A) should be chain complexes in A, with two such chain complexes considered isomorphic when there is a chain map that induces an isomorphism on the level of homology of the chain complexes.
Cohomology and Derived category · Derived category and Floer homology ·
Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
Cohomology and Differential form · Differential form and Floer homology ·
Ext functor
In mathematics, the Ext functors of homological algebra are derived functors of Hom functors.
Cohomology and Ext functor · Ext functor and Floer homology ·
Genus (mathematics)
In mathematics, genus (plural genera) has a few different, but closely related, meanings.
Cohomology and Genus (mathematics) · Floer homology and Genus (mathematics) ·
Homology (mathematics)
In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
Cohomology and Homology (mathematics) · Floer homology and Homology (mathematics) ·
Khovanov homology
In mathematics, Khovanov homology is an oriented link invariant that arises as the homology of a chain complex.
Cohomology and Khovanov homology · Floer homology and Khovanov homology ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Cohomology and Manifold · Floer homology and Manifold ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Cohomology and Mathematics · Floer homology and Mathematics ·
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.
Cohomology and Poincaré duality · Floer homology and Poincaré duality ·
Principal bundle
In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product of a space with a group.
Cohomology and Principal bundle · Floer homology and Principal bundle ·
Quantum cohomology
In mathematics, specifically in symplectic topology and algebraic geometry, a quantum cohomology ring is an extension of the ordinary cohomology ring of a closed symplectic manifold.
Cohomology and Quantum cohomology · Floer homology and Quantum cohomology ·
Singular homology
In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X).
Cohomology and Singular homology · Floer homology and Singular homology ·
Spectrum (topology)
In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory.
Cohomology and Spectrum (topology) · Floer homology and Spectrum (topology) ·
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.
Cohomology and Springer Science+Business Media · Floer homology and Springer Science+Business Media ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
The list above answers the following questions
- What Cohomology and Floer homology have in common
- What are the similarities between Cohomology and Floer homology
Cohomology and Floer homology Comparison
Cohomology has 186 relations, while Floer homology has 117. As they have in common 22, the Jaccard index is 7.26% = 22 / (186 + 117).
References
This article shows the relationship between Cohomology and Floer homology. To access each article from which the information was extracted, please visit:
