Formality conjecture for Hochschild complexes of orbifolds

Let MM be a smooth manifold with an action of a finite group GG, and let C(M)GC^\infty(M)\rtimes G denote the corresponding crossed-product algebra. Its Hochschild complex, equipped with its differential graded Lie algebra structure, is formal.

Formality conjecture. The Hochschild complex of the algebra C(M)GC^\infty(M)\rtimes G is a formal differential graded Lie algebra.

This conjecture is presented as a formality question for orbifolds and is related to extending the noncommutative Poisson structures constructed in the paper to formal deformations. The supplied text does not state whether it has been resolved.

Sources & referencesView supporting material

Primary source

Gilles Halbout and Xiang Tang, “Noncommutative Poisson structures on Orbifolds”, arXiv:math/0606436 (2009).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.