منابع مشابه
Formality of Donaldson submanifolds
We introduce the concept of s–formal minimal model as an extension of formality. We prove that any orientable compact manifold M , of dimension 2n or (2n− 1), is formal if and only if M is (n− 1)–formal. The formality and the hard Lefschetz property are studied for the Donaldson submanifolds of symplectic manifolds constructed in [13]. This study permits us to show an example of a Donaldson sym...
متن کاملRelative Formality Theorem and Quantisation of Coisotropic Submanifolds
We prove a relative version of Kontsevich’s formality theorem. This theorem involves a manifold M and a submanifold C and reduces to Kontsevich’s theorem if C=M. It states that the DGLA of multivector fields on an infinitesimal neighbourhood of C is L∞-quasiisomorphic to the DGLA of multidifferential operators acting on sections of the exterior algebra of the conormal bundle. Applications to th...
متن کاملOn the formality and the hard Lefschetz property for Donaldson symplectic manifolds
We introduce the concept of s–formal minimal model as an extension of formality. We prove that any orientable compact manifold M , of dimension 2n or (2n − 1), is formal if and only if M is (n− 1)–formal. The formality and the hard Lefschetz property are studied for the Donaldson symplectic manifolds constructed in [13]. This study permits us to show an example of a Donaldson symplectic manifol...
متن کاملFormality and Star Products
These notes, based on the mini-course given at the PQR2003 Euroschool held in Brussels in 2003, aim to review Kontsevich’s formality theorem together with his formula for the star product on a given Poisson manifold. A brief introduction to the employed mathematical tools and physical motivations is also given.
متن کاملFormality for Algebroid Stacks
We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2007
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-007-0208-2