There has been a great deal of activity in recent years involving discretization and integrable systems and we refer to  for a survey (cf. also Chapter 6). We will sketch here the developments related to differential calculi and noncommutative geometry based on [191, 198, 199, 200, 201, 202, 203] (cf. also [73, 227, 340, 576, 629] and a large subset of the 1000+ references in ).
KeywordsFormal Power Series Moyal Product Principal Chiral Model Leibnitz Rule Noncommutative Space Time
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