Softcover ISBN:  9783985470266 
Product Code:  EMSZLEC/29 
List Price:  $45.00 
AMS Member Price:  $36.00 
Softcover ISBN:  9783985470266 
Product Code:  EMSZLEC/29 
List Price:  $45.00 
AMS Member Price:  $36.00 

Book DetailsEMS Zurich Lectures in Advanced MathematicsVolume: 29; 2022; 178 ppMSC: Primary 18; Secondary 14; 16
This book discusses certain moduli problems related to \(A_\infty\)structures. These structures can be viewed as a way of recording extra information on cohomology algebras. They are useful in describing derived categories appearing in geometry, and, as such, they play an important role in homological mirror symmetry.
The author presents some general results on the classification of \(A_{\infty}\)structures. For example, he gives a sufficient criterion for the existence of a finitetype moduli scheme of \(A_{\infty}\)structures extending a given associative algebra. He also considers two concrete moduli problems for \(A_{\infty}\)structures. The first is related to the moduli spaces of curves, while the second is related to the classification of solutions of an associative version of the Yang–Baxter equation.
The book will be of interest to graduate students and researchers working in homological algebra, algebraic geometry, and related areas.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipGraduate students and research mathematicians interested in homological algebra and algebraic geometry.

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This book discusses certain moduli problems related to \(A_\infty\)structures. These structures can be viewed as a way of recording extra information on cohomology algebras. They are useful in describing derived categories appearing in geometry, and, as such, they play an important role in homological mirror symmetry.
The author presents some general results on the classification of \(A_{\infty}\)structures. For example, he gives a sufficient criterion for the existence of a finitetype moduli scheme of \(A_{\infty}\)structures extending a given associative algebra. He also considers two concrete moduli problems for \(A_{\infty}\)structures. The first is related to the moduli spaces of curves, while the second is related to the classification of solutions of an associative version of the Yang–Baxter equation.
The book will be of interest to graduate students and researchers working in homological algebra, algebraic geometry, and related areas.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Graduate students and research mathematicians interested in homological algebra and algebraic geometry.