The Net Advance of Physics:
NON-COMMUTATIVE GEOMETRY

NON-COMMUTATIVE GEOMETRY:

• General: Aschieri and Castellani 92/07; Grosse et al. 95/10; Froehlich 97/06; Dimakis and Muller-Hoissen 97/12; Madore 99/06; Connes 2000/03; Bigatti 2000/06; Connes 2000/11; Konechny and Schwarz 2001/07; Gracia-Bondia 2002/06; Varilly 2002/06; Jackiw 2002/12;
  • Non commutative geometry for outsiders: an elementary introduction to motivations and tools by Daniela Bigatti [1998/02]
  • The Structure of Spacetime and Noncommutative Geometry by Fedele Lizzi [2008/05]
  • Notes on noncommutative geometry by Igor Nikolaev [2015/03] 309 pp.
  • Noncommutative geometry and physics by Jean Petitot [2015/05]
  • Topics in Noncommutative Geometry by Francesco D'Andrea [2015/10]
  • Noncommutative Geometry: The Spectral Standpoint by Alain Connes [2019/10]
  • Noncommutativity and physics: A non-technical review by A. H. Chamseddine et al. [2022/07] 'Non-technical' in a relative sense only.

• Types: ALGEBRAIC; BRAIDS; HOPF ALGEBRAS;

• Type: PROJECTIVE:
  • An introduction to Noncommutative Projective Geometry by Daniel Rogalski [2014/03]

• Aspects: BAUM-CONNES CONJECTURE:
  • The Baum-Connes Conjecture: An Extended Survey by Maria Paula Gomez Aparicio et al. [2019/05]

• Aspects: CURVATURE:
  • Curvature in Noncommutative Geometry by Farzad Fathizadeh and Masoud Khalkhali [2019/01]

• Aspects: SPECTRAL ACTION:
  • Spectral Action in Non-Commutative Geometry by Michał Eckstein and Bruno Iochum [2019/02] 171 pp.

• Re: FIELD THEORY; HOPF ALGEBRAS; QUANTUM GROUPS; YANGIAN SYMMETRY;
• Re: BRANES: Harvey 2001/02;
• Re: DEFORMATION QUANTIZATION: Sternheimer 98/09;
• Re: FINITE SETS: Dimakis and Muller-Hoissen 97/12;
• Re: FLUID DYNAMICS: Jackiw 2002/12;

• Re: GRAVITY:
  • Noncommutative Geometries and Gravity by Folkert Muller-Hoissen [2007/09]
  • Survey of Gravity in Non-Commutative Geometry by Nicolas Franco [2008/05]

• Re: GRAVITY: QUANTUM GRAVITY: Gervais 92/12;
• Re: KALUZA-KLEIN THEORY: Castellani 2000/05;
• Re: LATTICES: TODA: NON-LINEAR: Dimakis and Muller-Hoissen 97/12;
• Re: M THEORY: Castellani 2000/05; Konechny and Schwarz 2001/07;
• Re: NUCLEAR STRUCTURE: Bonatsos et al. 95/10;
• Re: PARTICLE PHYSICS: Chamseddine 94/10; Martinetti 2003/06;
• Re: RENORMALIZATION: Connes 2000/03;
• Re: RIEMANN-HILBERT PROBLEM: Connes 2000/03;
• Re: SOLITONS: Harvey 2001/02;

• Re: STANDARD MODEL: Martinetti 2003/06;
  • The Structure of Spacetime and Noncommutative Geometry by Fedele Lizzi [2008/05]

• Re: STRING DUALITY: Lizzi and Szabo 99/04;

• Re: STRING THEORY: Castellani 2000/05;
  • The Structure of Spacetime and Noncommutative Geometry by Fedele Lizzi [2008/05]
  • A Course on Noncommutative Geometry in String Theory by Ralph Blumenhagen [2013/09]

• Re: TACHYONIC CONDENSATION: Harvey 2001/02;

• Re: TOPOLOGICAL INSULATORS:
  • Topological insulators from the perspective of non-commutative geometry and index theory by Hermann Schulz-Baldes [2016/07]

• Re: WDVV EQUATION: Carroll 98/02;

THE NET ADVANCE OF PHYSICS