Noncommutative calculus and operads

Abstract

This is a survey of current and recent works on deformation quantization and index theorems.

References in corpus (13)

• Deformation quantization of Poisson manifolds, I
• Higher Topos Theory
• Operads, homotopy algebra and iterated integrals for double loop spaces
• Homotopy G-algebras and moduli space operad
• Another proof of M. Kontsevich formality theorem
• The characteristic classes of Morita equivalent star products on symplectic manifolds
• A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold
• Equivalence of formalities of the little discs operad
• Operads in Higher-Dimensional Category Theory
• Caldararu's conjecture and Tsygan's formality
• Formality theorems for Hochschild chains in the Lie algebroid setting
• Fukaya Type Categories for Associative Algebras
• Dunkl operator and quantization of ${\mathbb{Z}}_2$-singularity

Cited by in corpus (4)

• Braided Cartan Calculi and Submanifold Algebras
• Formality and Kontsevich--Duflo type theorems for Lie pairs
• Quantum deformation of planar amplitudes
• Braided Commutative Geometry and Drinfel'd Twist Deformations