Titlebook: Higher Structures in Geometry and Physics; In Honor of Murray G Alberto S. Cattaneo,Anthony Giaquinto,Ping Xu Book 2011 Springer Science+Bu

完成才能战胜

Topics in Algebraic Deformation Theory,We give a selective survey of topics in algebraic deformation theory ranging from its inception to current times. Throughout, the numerous contributions of Murray Gerstenhaber are emphasized, especially the common themes of cohomology, infinitesimal methods, and explicit global deformation formulas.

crease

Symplectic Connections of Ricci Type and Star Products,In this article we relate the construction of Ricci-type symplectic connections by reduction to the construction of star products by reduction yielding rather explicit descriptions for the star product on the reduced space..AMS Classification (2010): 53D55, 53C07, 53D20

grenade

,Noncommutative Calculus and the Gauss–Manin Connection,..After an overview of noncommutative differential calculus, we construct parts of it explicitly and explain why this construction agrees with a fuller version obtained from the theory of operads...: 19D55, 18G55

Glossy

The Lie Algebra Perturbation Lemma,Let . be a commutative ring which contains the rational numbers as a subring. We shall establish the following.

famine

neologism

,Permutahedra, HKR Isomorphism and Polydifferential Gerstenhaber–Schack Complex,This paper aims to give a short but self-contained introduction into the theory of (wheeled) props, properads, dioperads and operads, and illustrate some of its key ideas in terms of a prop(erad)ic interpretation of simplicial and permutahedra cell complexes with subsequent applications to the Hochschild–Kostant–Rosenberg type isomorphisms.

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首创精神

纠缠,缠绕

Differential Geometry of Gerbes and Differential Forms,give a more direct derivation of the associated cocycle equations. This leads us to a more restrictive definition than in [.] of the corresponding coboundary relations. We also show that the diagrammatic proofs of certain local curving and curvature equations may be replaced by computations with differential forms.

拍下盗公款

Categorification of Acyclic Cluster Algebras: An Introduction,e review the definition cluster algebras (geometric, without coefficients), construct the cluster category and present the bijection between cluster variables and rigid indecomposable objects of the cluster category.