Spontaneous symmetry breaking and geometry from the spectral viewpoint

DOI10.1016/S0393-0440(97)80001-0zbMath0918.46064OpenAlexW1979528218MaRDI QIDQ1377243

Alain Connes

Publication date: 1 March 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(97)80001-0

zbMATH Keywords

\(C^*\)-algebranoncommutative geometry\(K\)-theoryfiber bundlequantum Hall effectChern characternoncommutative toriinfinitesimal calculusindex of a Fredholm operatorcyclic cocycleChern-Weil construction\(A\)-projective module of finite typede Rham homology classeigenvalue inequalities of Vafa and Witteninvolutive operator algebralocal index theorem for Dirac-type operatorsnoncommutative Poincaré duality

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Symmetry breaking in quantum theory (81R40) Index theory (19K56)

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Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics ⋮ Reverse formalism 16

Cites Work

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