TY - JOUR T1 - Some Properties of Non-linear sigma-Models in Noncommutative Geometry JF - Int. J. Mod. Phys. B 14 (2000) 2367-2382 Y1 - 2000 A1 - Ludwik Dabrowski A1 - Thomas Krajewski A1 - Giovanni Landi AB - We introduce non-linear $\\\\sigma$-models in the framework of noncommutative geometry with special emphasis on models defined on the noncommutative torus. We choose as target spaces the two point space and the circle and illustrate some characteristic features of the corresponding $\\\\sigma$-models. In particular we construct a $\\\\sigma$-model instanton with topological charge equal to 1. We also define and investigate some properties of a noncommutative analogue of the Wess-Zumino-Witten model. PB - SISSA Library UR - http://hdl.handle.net/1963/1373 U1 - 3082 U2 - Mathematics U3 - Mathematical Physics ER -