Spin geometry of Dirac and noncommutative geometry of Connes

DOI10.1134/S0081543817060177zbMath1390.58006OpenAlexW2768419947MaRDI QIDQ1701894

Armen Glebovich Sergeev

Publication date: 27 February 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817060177

zbMATH Keywords

spin geometryspectral triplesDirac geometryConnes noncommutative geometry

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Analysis in differential algebras and modules ⋮ \( \text{Spin}^c\)-structures and Seiberg-Witten equations ⋮ On mathematical aspects of the theory of topological insulators ⋮ Analysis in noncommutative algebras and modules

Cites Work

• Quantum calculus and quasiconformal mappings
• Quantization of the Sobolev space of half-differentiable functions
• Basic noncommutative geometry
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