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A Gentle Introduction to Homological Mirror Symmetry (London Mathematical Society Student Texts, Series Number 99)

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Management number 231717497 Release Date 2026/06/18 List Price US$18.88 Model Number 231717497
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Homological mirror symmetry has its origins in theoretical physics but is now of great interest in mathematics due to the deep connections it reveals between different areas of geometry and algebra. This book offers a self-contained and accessible introduction to the subject via the representation theory of algebras and quivers. It is suitable for graduate students and others without a great deal of background in homological algebra and modern geometry. Each part offers a different perspective on homological mirror symmetry. Part I introduces the A-infinity formalism and offers a glimpse of mirror symmetry using representations of quivers. Part II discusses various A- and B-models in mirror symmetry and their connections through toric and tropical geometry. Part III deals with mirror symmetry for Riemann surfaces. The main mathematical ideas are illustrated by means of simple examples coming mainly from the theory of surfaces, helping the reader connect theory with intuition. Read more

ISBN10 1108728758
ISBN13 978-1108728751
Edition 1st
Language English
Publisher Cambridge University Press
Dimensions 6 x 1.01 x 9 inches
Item Weight 1.38 pounds
Print length 404 pages
Part of series London Mathematical Society Student Texts
Publication date August 19, 2021

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