Another proof of M. Kontsevich formality theorem

Abstract

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

24 pages

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• Operads, homotopy algebra and iterated integrals for double loop spaces
• Homotopy G-algebras and moduli space operad

Cited by in corpus (69)

• Deformation quantization of Poisson manifolds, I
• Operads and Motives in Deformation Quantization
• Deformation quantization of algebraic varieties
• Deformation theory of representations of prop(erad)s
• Supersymmetric gauge theory and the Yangian
• Hochschild cohomology and Atiyah classes
• Hydrodynamic Limit For An Active Exclusion Process
• Variations on deformation quantization
• A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold
• Deformations of Batalin-Vilkovisky algebras
• Formality of Chain Operad of Small Squares
• Algebra+Homotopy=Operad
• The Homotopy Braces Formality Morphism
• On the Open-Closed B-Model
• On the Multiplicative Structure of Topological Hochschild Homology
• Deformations of Closed Strings and Topological Open Membranes
• Triviality of the higher Formality Theorem
• Topological conformal field theories and Calabi-Yau categories
• Bimodules and branes in deformation quantization
• Dyer-Lashof-Cohen operations in Hochschild cohomology
• PROP profile of deformation quantization and graph complexes with loops and wheels
• An $L_{\infty }$ algebra structure on polyvector fields
• String Topology: Background and Present State
• Formality conjecture for chains
• Homotopy Batalin-Vilkovisky algebras
• Higher Hochschild cohomology, Brane topology and centralizers of $E_n$-algebra maps
• D-branes on Group Manifolds and Deformation Quantization
• Proof of Swiss Cheese Version of Deligne's Conjecture
• Monopole Operators and Bulk-Boundary Relation in Holomorphic Topological Theories
• Kontsevich's Swiss Cheese Conjecture
• Deformation quantization and the Gerstenhaber structure on the homology of knot spaces
• A homotopy BV algebra for Yang-Mills and color-kinematics
• On the Gauss-Manin connection in cyclic homology
• On the Hochschild-Kostant-Rosenberg map for graded manifolds
• Noncommutative calculus and operads
• On the other side of the bialgebra of chord diagrams
• On global deformation quantization in the algebraic case
• Quantization of formal classical dynamical r-matrices: the reductive case
• Tamarkin's construction is equivariant with respect to the action of the Grothendieck-Teichmueller group
• Growth of nonsymmetric operads
• Leavitt path algebras, $B_{\infty }$-algebras and Keller's conjecture for singular Hochschild cohomology
• Convergence of Star Product: From Examples to a General Framework
• Formality theorem for Lie bialgebras and quantization of coboundary r-matrices
• Algebraic String Operations
• Deformation of Dirac structures via $L_{\infty }$ algebras
• On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
• Loday--Quillen--Tsygan Theorem for Coalgebras
• Formality for algebroid stacks
• Quantization of $r-Z$-quasi-Poisson manifolds and related modified classical dynamical $r$-matrices
• Moduli of framed formal curves
• Secondary products in supersymmetric field theory
• Equalizers in the category of cocomplete cocategories
• On the Cyclic Deligne Conjecture
• Derived deformation theory of algebraic structures
• A review on deformation quantization of coadjoint orbits of semisimple Lie groups
• Covariant and Equivariant Formality Theorems
• Noncommutative calculus and the Gauss-Manin connection
• A Geometric Approach to Hochschild Cohomology of the Exterior Algebra
• An A-infinity operad in spineless cacti
• The Grothendieck-Teichmüller group action on differential forms and formality morphism of chains
• Cohomology operations and the Deligne conjecture
• A Duflo Star Product for Poisson Groups
• On The Formality Theorem for the Differential Graded Lie Algebra of Drinfeld
• Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory
• Formality of little disks and algebraic geometry
• Star Products that can not be induced by Drinfel'd Twists
• The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal
• Brace algebras and the cohomology comparison theorem
• "A combinatorial universal $\star$-product" is incorrect