NONCOMMUTATIVE DIFFERENTIAL CALCULUS BORIS TSYGAN, NOTES BY NIEK DE KLEIJN AND MAKOTO YAMASHITA Abstract. This is a note from B. Tsygan’s lecture series which was part of masterclass &ldquo ...
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...Noncommutative differential calculus boris tsygan notes by niek de kleijn and makoto yamashita abstract this is a note from b s lecture series which was part of masterclass alge braic structure hochschild complexes at the university copenhagen in october course description i will review current state dierential term stands for theory that generalizes classical algebraic structures arising on manifolds to make them valid any associative algebra or more gen erally graded category instead functions manifold role forms multi vector elds new played our generalized are pro vided action various operads these summarize subject as developed works kontsevich soibelman tamarkin willwacher other authors well my own collaboration with dolgushev nest cyclic homologies basic denitions throughout k denotes eld characteristic let be unital over we put n c each integer dene cn x j nj have bb denition u formal variable degree consider following reduced complex negative cc juk ub periodic ccper uc per the...