Non commutative geometry for outsiders; an elementary introduction to motivations and tools

Abstract

Since the subject of noncommutative geometry is now entering maturity, we felt there is need for presentation of the material at an undergraduate course level. Our review is a zero order approximation to this project. Thus, the present paper attempts to offer some motivations and mathematical prerequisites for a deeper study or at least to serve as support in glancing at recent results in theoretical physics.

18 pages, LaTeX, four .eps figures; some misprints corrected and some references added

References in corpus (6)

• M Theory As A Matrix Model: A Conjecture
• Noncommutative Gauge Theories in Matrix Theory
• Dualities of the Matrix Model from T-Duality of the Type II String
• Twisted Bundle On Quantum Torus and BPS States in Matrix Theory
• Towards a Noncommutative Geometric Approach to Matrix Compactification
• Super Yang-Mills on the Noncomutative Torus