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 ·
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
3-manifold and Diffeomorphism · Diffeomorphism and Topological quantum field theory ·
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 ·
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 ·
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 ·
Knot theory
In topology, knot theory is the study of mathematical knots.
3-manifold and Knot theory · Knot theory and Topological quantum field theory ·
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 ·
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 ·
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 ·
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 ·
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 ·
The list above answers the following questions
- What 3-manifold and Topological quantum field theory have in common
- What are the similarities between 3-manifold and Topological quantum field theory
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
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