منابع مشابه
On Kontsevich's Formality Theorem
This paper is submitted as a dissertation for the degree of a Master of Science in Mathematics. It reviews the link between formal deformation quantizations and Poisson manifolds, which was conjectured in 1993. This link is a corollary of a more general statement called "Formality Theorem", proved by Maxim Kontsevich in 1997. supervised by Prof. John Jones
متن کاملOn Formality of Sasakian Manifolds
We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (than three) Massey products on any compact Sasakian manifold vanish. Hence, higher Massey products do obstruct Sasakian structures. Using this we produce a method of constructing simply connected K-contact non-Sasakia...
متن کاملFormality of canonical symplectic complexes and Frobenius manifolds
It is shown that the de Rham complex of a symplectic manifold M satisfying the hard Lefshetz condition is formal. Moreover, it is shown that the differential Gerstenhaber-Batalin-Vilkoviski algebra associated to such a symplectic structure gives rise, along the lines explained in the papers of Barannikov and Kontsevich [alg-geom/9710032] and Manin [math/9801006], to the structure of a Frobenius...
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 کاملThe equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds
Suppose one is given a discrete group G, a cocompact proper Gmanifold M , and a G-self-map f : M → M . Then we introduce the equivariant Lefschetz class of f , which is globally defined in terms of cellular chain complexes, and the local equivariant Lefschetz class of f , which is locally defined in terms of fixed point data. We prove the equivariant Lefschetz fixed point theorem, which says th...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2017
ISSN: 1631-073X
DOI: 10.1016/j.crma.2017.03.008