Vasiliy DOLGUSHEV
A proof of Tsygan's formality conjecture for complex manifolds
Abstract
In my talk I will show that combining
the Dolbeault resolution together with
the Fedosov resolutions proposed in
math.QA/0402248 one can prove that
the sheaf of Hochschild chains of
the structure sheaf of a complex manifold
is formal as a sheaf of DGLA modules
over the sheaf of DGLA of the
corresponding Hochschild cochains.
This claim is a particular case
of a more general statement proved
for any holomorphic Lie algebroids
in my joint paper math.KT/0504372
with D. Calaque and G. Halbout.
6 mai 2005