Noncommutative geometry from strings and branes

Noncommutative Geometry

Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports · 2010 · 2.1K citations

Local Index Formulae, Representation Theory, Non-commutative Algebra +2

Noncommutative Geometry and Matrix Theory: Compactification on Tori

Alain Connes, Michael R. Douglas, Albert Schwarz · arXiv (Cornell University) · 1997 · 1.1K citations · Full text

M-theory, Representation Theory, Twistor Theory +6

Matrix string theory

Robbert Dijkgraaf, Erik Verlinde, Herman Verlinde · Nuclear Physics B · 1997 · 590 citations · Full text

Matrix String Theory, Representation Theory, Matrix Theory +1

Instantons on Noncommutative ℝ 4 , and (2,0) Superconformal Six Dimensional Theory

Communications in Mathematical Physics · 1998 · 405 citations · Full text

Noncommutative ℝ 4, Physics, Quantum Field Theory +2

Projective Modules over Higher-Dimensional Non-Commutative Tori

Marc A. Rieffel · Canadian Journal of Mathematics · 1988 · 299 citations · Full text

Schubert Calculus, Lie Group, Projective Geometry +7