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(Top) 1 Symmetry Breaking and Algebraic Quantum Topology 1.1 Symmetry Breaking, Goldstone Bosons and Algebraic Quantum Topology

User:Bci2/Symmetry Breaking

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Symmetry Breaking and Algebraic Quantum Topology Symmetry Breaking, Goldstone Bosons and Algebraic Quantum Topology

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Symmetry Breaking and Algebraic Quantum Topology[edit]

Symmetry Breaking, Goldstone Bosons and Algebraic Quantum Topology[edit]

Algebraic Quantum Topology: Table of contents; Symmetry; Time symmetry; Spacetime symmetries; Symmetry (biology); Symmetric relation; Commutativity; Abelian group; Nonabelian group; Symmetry group; Isometry; Space group; Crystal system; Mirror image; Asymmetry; Non-abelian-nonabelian; Skewness; Chirality; Chirality (mathematics); Chirality (physics); Even and odd functions; Spin group; Lagrangian mechanics; Hamiltonian mechanics; Noether's theorem; Rigged Hilbert space; Kac–Moody algebra; Operator algebra; Clifford algebra; von Neumann algebra; C*-algebra; Jones polynomial; Subfactor(Jones); Quantum logic; Quantum group; Hopf algebra; Quasitriangular Hopf algebra; Quantum doubleconstruction; Grassman algebra; Special unitary group(SUn); Gauge theory; Yang–Mills theory; Yangian; Superalgebra; Supergroup; Symmetry breaking; Spontaneous symmetry breaking; Goldstone bosons; Higgs boson; Higgs mechanism; Topological order; Topological quantum field theory(TQFT)
Quantum Geometry: Quantum geometry; Noncommutative geometry(NCG); Noncommutative quantum field theory; Noncommutative standard model; Fuzzy spheres; Quantum torus-tori; Homological mirror symmetry-Conjecture
Algebra: Algebra; Abstract Algebra; Algebraic logic; Galois group; Galois theory; Grothendieck's Galois theory
Algebraic Topology: Table of contents; Algebraic Topology; Open sets; Topology; Topological property; Topological space; Continuous function (topology); Fibration; Homeomorphism; Compact space; Hausdorff space; Tangent space; Riemann space; Riemannian manifold; Kähler manifold; Calabi–Yau manifold; Pseudo-Riemannian manifold; Hypersurface; CR manifold; Symplectic manifold; Betti number; Euler characteristics; Presheaf (category theory); Sheaf (mathematics); Postnikov system; Grothendieck topology; Groupoid; Lie groupoid; Lie algebroid; Algebroid; Fundamental group; Homotopy; Crossed module; Homology (mathematics); Cohomologygroup; Homology theory; Chain complex; Crystalline cohomology; Homological algebra; Algebraic K-theory; Topological K-theory; Stack (descent theory); Esquisse d'un Programme
Important Theorems in Algebraic Topology: Hairy ball theorem; Universal coefficient theorem; Borsuk-Ulam theorem; Brouwer fixed point theorem; Cellular approximation theorem; Eilenberg–Zilber theorem; Hurewicz theorem; Künneth theorem; Poincaré duality theorem; Tychonoff's theorem; Tietze extension theorem; Universal coefficient theorem; Seifert–van Kampen theorem; Whitehead theorem; List of important publications in mathematics
Higher Dimensional Algebra: Higher-dimensional algebra; Higher category theory; Enriched category; Graph coloring-Colored graph; Graph theory; Multicategory; Metatheory; Metalogic; Metamathematics
Category theories: Category theory; Algebraic category; Categorical logic; Category (mathematics); Abelian category; Topos; Heyting algebra; Subobject classifier; Generator; Exact sequence; Coproduct-Direct sum; Product; Pushout; Pullback; Limit; Colimit; Yoneda lemma; Functor; Adjoint functors; Representable functor; Functor category; Natural equivalence; Natural transformation; Dual (category theory); Isomorphism; Semigroup; Monoid; Domain theory; Baire category theorem
Notable Algebraic Topologists and Category Theoreticians: Michael Atiyah(Sir); Karol Borsuk; Nicolas Bourbaki; Ronald Brown (mathematician); Henri Cartan; Alain Connes; Jean Dieudonné; Charles Ehresmann; Samuel Eilenberg; Peter Freyd; Alexander Grothendieck; Heinz Hopf; Maxim Kontsevich; Otto Hermann Künneth; Saunders Mac Lane; William Lawvere; Egbert van Kampen; Grigory Perelman; Nicolae Popescu; Robert Rosen; Jean-Pierre Serre; J. H. C. Whitehead; Edward Witten

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