A. Alekseev, Y. Kosmann-Schwarzbach, and E. Meinrenken, ' Quasi-Poisson manifolds ', Canad. J. Math. 54 (1) (2002), 3-29.
A. Alekseev, A. Malkin, and E. Meinrenken, ' Lie group valued moment maps ', J. Differential Geom. 48 (3) (1998), 445-495.
T. Bozec, D. Calaque, and S. Scherotzke, 'Relative critical loci and quiver moduli', Preprint, arXiv:2006.01069v2.
T. Bozec, D. Calaque, and S. Scherotzke, ' Calabi-Yau structures for multiplicative preprojective algebras ', J. Noncommut. Geom. 17 (3) (2023), 783-810.
C. Brav, and T. Dyckerhoff, ' Relative Calabi-Yau structures ', Compositio Math. 155 (2019), 372-412.
C. Brav, and T. Dyckerhoff, ' Relative Calabi-Yau structures II: shifted Lagrangians in the moduli of objects ', Sel. Math. New Ser. 27 (63) (2021).
D. Calaque, 'Lagrangian structures on mapping stacks and semi-classical TFT's, Contemp. Math. 643 (2015).
D. Calaque, T. Pantev, B. Toën, M. Vaquié and G. Vezzosi, ' Shifted Poisson structures and deformation quantization ', J. Topol. 10 (2) (2017), 483-584.
W. Crawley-Boevey, P. Etingof, and V. Ginzburg, ' Noncommutative geometry and quiver algebras ', Adv. Math. 209 (1) (2007), 274-336.
W. Crawley-Boevey, and P. Shaw, ' Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem ', Adv. Math. 201 (2006), 180-208.
J. Cuntz, and D. Quillen, ' Algebra extensions and nonsingularity ', J. Amer. Math. Soc. 8 (1995), 251-289.
M. Fairon, ' Double quasi-Poisson brackets: fusion and new examples ', Algebr. Represent. Theory 24 (2021), 911-958.
V. Ginzburg, ' Lectures on noncommutative geometry ', Preprint, arXiv:math/0506603v1.
V. Ginzburg, and T. Schedler, ' Free products, cyclic homology, and the Gauss-Manin connection ', Adv. Math. 231 (3-4) (2012), 2352-2389.
V. Ginzburg, and T. Schedler, ' A new construction of cyclic homology ', Proc. Lond. Math. Soc. 112 (3) (2016), 549-587.
M. Hoyois, 'The homotopy fixed points of the circle action on Hochschild homology', Preprint, arXiv:1506.07123v2.
M. Karoubi, ' Homologie cyclique et K-théorie ', Astérisque 149 (1987), 156 p.
B. Keller, 'On differential graded categories', in Proc. ICM vol. 2 (Eur. Math. Soc., ZÜrich, 2006), 151-190.
J. Lurie, Higher Topos Theory (Princeton University Press, 2009).
T. Pantev, B. Toën, M. Vaquié and G. Vezzosi, ' Shifted symplectic structures ', Publications mathématiques de l'IHÉS 117 (1) (2013), 271-328.
J. P. Pridham, 'Shifted bisymplectic and double Poisson structures on non-commutative derived prestacks', Preprint, arXiv:2008.11698v1.
P. Safronov, ' Quasi-Hamiltonian reduction via classical Chern-Simons theory ', Adv. Math. 287 (2016), 733-773.
B. Toën, 'Lectures on dg-categories', in Topics in Algebraic and Topological-Theory (Lecture Notes in Mathematics) (Springer, Berlin, Heidelberg, 2008).
B. Toën, 'Structures symplectiques et de Poisson sur les champs en catégories', Preprint, arXiv:1804.10444v1.
B. Toën, and M. Vaquié, ' Moduli of objects in dg-categories ', Annales de l'ENS 40 (2007), 387-444.
B. Toën, and G. Vezzosi, ' Homotopical algebraic geometry II: geometric stacks and applications ', Mem. Amer. Math. Soc. 904 (2008), 224 p.
B. Toën, and G. Vezzosi, ' Algèbres simpliciales-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs ', Compos. Math. 147 (6) (2011), 1979-2000.
M. Van den Bergh, ' Double Poisson algebras ', Trans. Amer. Math. Soc. 360 (11) (2008), 5711-5769.
M. Van den Bergh, ' Non-commutative quasi-Hamiltonian spaces ', in Poisson Geometry in Mathematics and Physics (Contemp. Math.) vol. 450 (American Mathematical Society, 2008), 273-300.
D. Yamakawa, ' Geometry of multiplicative preprojective algebra ', International Mathematics Research Papers 2008 (2008), rpn008.
W.-K. Yeung, 'A higher Hodge extension of the Feigin-Tsygan theorem', Preprint, arXiv:2202.09499v1.