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14 relations: American Mathematical Society, Classical field theory, Dirac operator, Donaldson theory, Graduate Studies in Mathematics, Gromov–Witten invariant, Line bundle, Magnetic monopole, Riemannian manifold, Rotations in 4-dimensional Euclidean space, Seiberg–Witten theory, Spin structure, Spinor bundle, 4-manifold.
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
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Classical field theory
A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations.
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Dirac operator
In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian.
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Donaldson theory
Donaldson theory is the study of the topology of smooth 4-manifolds using moduli spaces of anti-self-dual instantons.
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Graduate Studies in Mathematics
Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS).
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Gromov–Witten invariant
In mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic manifold.
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Line bundle
In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space.
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Magnetic monopole
A magnetic monopole is a hypothetical elementary particle in particle physics that is an isolated magnet with only one magnetic pole (a north pole without a south pole or vice versa).
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Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
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Rotations in 4-dimensional Euclidean space
In mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO(4).
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Seiberg–Witten theory
In theoretical physics, Seiberg–Witten theory is a theory that determines an exact low-energy effective action (for massless degrees of freedom) of a N.
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Spin structure
In differential geometry, a spin structure on an orientable Riemannian manifold allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry.
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Spinor bundle
In differential geometry, given a spin structure on an n-dimensional orientable Riemannian manifold (M, g),\, one defines the spinor bundle to be the complex vector bundle \pi_\colon\to M\, associated to the corresponding principal bundle \pi_\colon\to M\, of spin frames over M and the spin representation of its structure group (n)\, on the space of spinors \Delta_n.\,.
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4-manifold
In mathematics, a 4-manifold is a 4-dimensional topological manifold.
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