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3-manifold and Topological quantum field theory

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between 3-manifold and Topological quantum field theory

3-manifold vs. Topological quantum field theory

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.

Similarities between 3-manifold and Topological quantum field theory

3-manifold and Topological quantum field theory have 11 things in common (in Unionpedia): Connected space, Diffeomorphism, Floer homology, Geometric group theory, Homotopy, Knot theory, Lie group, Phase space, Riemann surface, Submanifold, Vector space.

Connected space

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.

3-manifold and Connected space · Connected space and Topological quantum field theory · See more »

Diffeomorphism

In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.

3-manifold and Diffeomorphism · Diffeomorphism and Topological quantum field theory · See more »

Floer homology

In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional topology.

3-manifold and Floer homology · Floer homology and Topological quantum field theory · See more »

Geometric group theory

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).

3-manifold and Geometric group theory · Geometric group theory and Topological quantum field theory · See more »

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.

3-manifold and Homotopy · Homotopy and Topological quantum field theory · See more »

Knot theory

In topology, knot theory is the study of mathematical knots.

3-manifold and Knot theory · Knot theory and Topological quantum field theory · See more »

Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

3-manifold and Lie group · Lie group and Topological quantum field theory · See more »

Phase space

In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.

3-manifold and Phase space · Phase space and Topological quantum field theory · See more »

Riemann surface

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.

3-manifold and Riemann surface · Riemann surface and Topological quantum field theory · See more »

Submanifold

In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S → M satisfies certain properties.

3-manifold and Submanifold · Submanifold and Topological quantum field theory · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

3-manifold and Vector space · Topological quantum field theory and Vector space · See more »

The list above answers the following questions

3-manifold and Topological quantum field theory Comparison

3-manifold has 185 relations, while Topological quantum field theory has 105. As they have in common 11, the Jaccard index is 3.79% = 11 / (185 + 105).

References

This article shows the relationship between 3-manifold and Topological quantum field theory. To access each article from which the information was extracted, please visit:

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