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

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發(fā)表于 2025-3-21 19:20:53 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Higher Structures in Geometry and Physics
副標(biāo)題In Honor of Murray G
編輯Alberto S. Cattaneo,Anthony Giaquinto,Ping Xu
視頻videohttp://file.papertrans.cn/427/426985/426985.mp4
概述Expository articles on seminal concepts from a rich and variety of research fields.Written by distinguished researchers and exeptional speakers.Discusses fundamental research and new directions for gr
叢書名稱Progress in Mathematics
圖書封面Titlebook: Higher Structures in Geometry and Physics; In Honor of Murray G Alberto S. Cattaneo,Anthony Giaquinto,Ping Xu Book 2011 Springer Science+Bu
描述.This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. The ideas of higher homotopies and algebraic deformation have a growing number of theoretical applications and have played a prominent role in recent mathematical advances. For example, algebraic versions of higher homotopies have led eventually to the proof of the formality conjecture and the deformation quantization of Poisson manifolds. As observed in deformations and deformation philosophy, a basic observation is that higher homotopy structures behave much better than strict structures. .Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. .Higher Structures in Geometry and Physics. is intended for post-graduate st
出版日期Book 2011
關(guān)鍵詞algebraic deformations; cohomology; homotopies
版次1
doihttps://doi.org/10.1007/978-0-8176-4735-3
isbn_ebook978-0-8176-4735-3Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media, LLC 2011
The information of publication is updating

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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 dif
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Homological Perturbation Theory and Homological Mirror Symmetry,lman’s proposal [Kontsevich, M., Soibelman, Y. (2001) Homological mirror symmetry and torus fibrations]. After a brief review of Morse theory, Morse homotopy and the corresponding Fukaya categories, we explain the idea of deriving a Fukaya category from a DG category via HPT, which is expected to gi
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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.
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The Diagonal of the Stasheff Polytope,The key point is the construction of an operad AA-infinity based on the simplicial Stasheff polytope. The operad AA-infinity admits a coassociative diagonal and the operad A-infinity is a retract by deformation of it. We compare these constructions with analogous constructions due to Saneblidze–Umbl
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