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Atiyah–Jones conjecture

Index Atiyah–Jones conjecture

In mathematics, the Atiyah–Jones conjecture is a conjecture about the homology of the moduli space of instantons over a sphere. [1]

9 relations: Annals of Mathematics, Bulletin of the American Mathematical Society, Communications in Mathematical Physics, Conjecture, Homology (mathematics), Instanton, Mathematics, Moduli space, Sphere.

Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Communications in Mathematical Physics

Communications in Mathematical Physics is a peer-reviewed academic journal published by Springer.

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Conjecture

In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found.

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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.

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Instanton

An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Moduli space

In algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects.

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Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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References

[1] https://en.wikipedia.org/wiki/Atiyah–Jones_conjecture

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