We study some classical integrable systems naturally associated with multiplicative quiver
varieties for the (extended) cyclic quiver with m vertices. The phase space of our integrable …

Cohomology of A Ì Z2 and its Chern–Connes pairing Page 1 J. Noncommut. Geom. 11 (2017),
827–843 DOI 10.4171/JNCG/11-3-2 Journal of Noncommutative Geometry © European …

Abstract Let Γ⊂ SL (2, Z) be a finite subgroup acting on the irrational rotational algebra A θ
via the restriction of the canonical action of SL (2, Z). Consider the crossed product algebra …

The main goal of this thesis is to provide a systematic study of several integrable systems
defined on complex Poisson manifolds associated to extended cyclic quivers. These spaces …

Cyclic cohomology and Chern–Connes pairing of some crossed product algebras -
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arXiv:2007.03842v1 [math.KT] 8 Jul 2020 Page 1 arXiv:2007.03842v1 [math.KT] 8 Jul 2020
HOCHSCHILD AND CYCLIC HOMOLOGY OF THE QUANTUM KUMMER SPACES SAFDAR …

We calculate the Hochschild and cyclic cohomology of the $\mathbb Z_2 $ toroidal orbifold
$\mathcal A_\theta^{alg}\rtimes\mathbb Z_2 $. We also calculate the Chern-Connes pairing …

These are lecture notes of a graduate course MATH 7400 currently taught by Yuri Berest at
Cornell University. The notes are taken by Sasha Patotski; the updates will appear every …