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Titlebook: Deformation Spaces; Perspectives on alge Hossein Abbaspour,Matilde Marcolli,Thomas Tradler Book 2010 Vieweg+Teubner Verlag | Springer Fachm

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发表于 2025-3-21 19:21:01 | 显示全部楼层 |阅读模式
书目名称Deformation Spaces
副标题Perspectives on alge
编辑Hossein Abbaspour,Matilde Marcolli,Thomas Tradler
视频video
概述Topics of Modern Mathematics
丛书名称Aspects of Mathematics
图书封面Titlebook: Deformation Spaces; Perspectives on alge Hossein Abbaspour,Matilde Marcolli,Thomas Tradler Book 2010 Vieweg+Teubner Verlag | Springer Fachm
描述The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics..This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn...Contributions by Grégory Ginot, Thomas M. Fiore and Igor Kriz, Toshiro Hiranouchi and Satoshi Mochizuki, Paulo Carrillo Rouse, Donatella Iacono and Marco Manetti, John Terilla, Anne Pichereau..- Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics.- Advanced graduate students in mathematics..Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France..Prof. Dr. Matilde Marco
出版日期Book 2010
关键词Hochschild Cohomology; algebraic geometry; algebraic topology; deformation theory; mathematical physics;
版次1
doihttps://doi.org/10.1007/978-3-8348-9680-3
isbn_softcover978-3-8348-2669-5
isbn_ebook978-3-8348-9680-3Series ISSN 0179-2156
issn_series 0179-2156
copyrightVieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2010
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发表于 2025-3-21 22:51:08 | 显示全部楼层
Book 2010tti, John Terilla, Anne Pichereau..- Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics.- Advanced graduate students in mathematics..Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France..Prof. Dr. Matilde Marco
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A. S. Markov,V. A. Romanov,N. B. Shaykhonhree. We indeed reobtain the explicit formulas for all the formal deformations of these Poisson structures, together with a classification in the generic case, by constructing a suitable quasi-isomorphism between two ..-algebras, which are associated to these Poisson structures.
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Hossein Abbaspour,Matilde Marcolli,Thomas TradlerTopics of Modern Mathematics
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What is the Jacobian of a Riemann Surface with Boundary?,ian varieties” which satisfies gluing axioms similar to those of Riemann surfaces, and therefore allows a notion of “conformal field theory” to be defined on this space. We further prove that chiral conformal field theories corresponding to even lattices factor through this moduli space of open abelian varieties.
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