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- Spectral_triple abstract "In noncommutative geometry and related branches of mathematics and mathematical physics, a spectral triple is a set of data which encodes a geometric phenomenon in an analytic way. The definition typically involves a Hilbert space, an algebra of operators on it and an unbounded self-adjoint operator, endowed with supplemental structures. It was conceived by Alain Connes who was motivated by the Atiyah-Singer index theorem and sought its extension to 'noncommutative' spaces. Some authors refer to this notion as unbounded K-cycles or as unbounded Fredholm modules.".
- Spectral_triple wikiPageID "23856672".
- Spectral_triple wikiPageLength "8192".
- Spectral_triple wikiPageOutDegree "22".
- Spectral_triple wikiPageRevisionID "628718276".
- Spectral_triple wikiPageWikiLink Alain_Connes.
- Spectral_triple wikiPageWikiLink Algebra_(ring_theory).
- Spectral_triple wikiPageWikiLink Algebra_over_a_field.
- Spectral_triple wikiPageWikiLink Atiyah-Singer_index_theorem.
- Spectral_triple wikiPageWikiLink Atiyah–Singer_index_theorem.
- Spectral_triple wikiPageWikiLink Banach_function_algebra.
- Spectral_triple wikiPageWikiLink Category:Noncommutative_geometry.
- Spectral_triple wikiPageWikiLink Dirac_operator.
- Spectral_triple wikiPageWikiLink Dixmier_trace.
- Spectral_triple wikiPageWikiLink Foliation.
- Spectral_triple wikiPageWikiLink Fredholm_module.
- Spectral_triple wikiPageWikiLink Function_algebra.
- Spectral_triple wikiPageWikiLink Heat_kernel.
- Spectral_triple wikiPageWikiLink Hilbert_space.
- Spectral_triple wikiPageWikiLink JLO_cocycle.
- Spectral_triple wikiPageWikiLink K-homology.
- Spectral_triple wikiPageWikiLink Mathematical_physics.
- Spectral_triple wikiPageWikiLink Mathematics.
- Spectral_triple wikiPageWikiLink Mellin_transform.
- Spectral_triple wikiPageWikiLink Noncommutative_geometry.
- Spectral_triple wikiPageWikiLink Polar_decomposition.
- Spectral_triple wikiPageWikiLink Positive_element.
- Spectral_triple wikiPageWikiLink Positive_operator.
- Spectral_triple wikiPageWikiLink Self-adjoint.
- Spectral_triple wikiPageWikiLink Spin_manifold.
- Spectral_triple wikiPageWikiLink Spin_structure.
- Spectral_triple wikiPageWikiLink Spinor.
- Spectral_triple wikiPageWikiLinkText "Spectral triple".
- Spectral_triple wikiPageWikiLinkText "spectral triple".
- Spectral_triple hasPhotoCollection Spectral_triple.
- Spectral_triple wikiPageUsesTemplate Template:Cite_book.
- Spectral_triple wikiPageUsesTemplate Template:Reflist.
- Spectral_triple subject Category:Noncommutative_geometry.
- Spectral_triple hypernym Set.
- Spectral_triple comment "In noncommutative geometry and related branches of mathematics and mathematical physics, a spectral triple is a set of data which encodes a geometric phenomenon in an analytic way. The definition typically involves a Hilbert space, an algebra of operators on it and an unbounded self-adjoint operator, endowed with supplemental structures. It was conceived by Alain Connes who was motivated by the Atiyah-Singer index theorem and sought its extension to 'noncommutative' spaces.".
- Spectral_triple label "Spectral triple".
- Spectral_triple sameAs m.06_ws74.
- Spectral_triple sameAs Q17103517.
- Spectral_triple sameAs Q17103517.
- Spectral_triple wasDerivedFrom Spectral_triple?oldid=628718276.
- Spectral_triple isPrimaryTopicOf Spectral_triple.