London Mathematical Society Student Texts #: A Gentle Introduction to Homological Mirror Symmetry

London Mathematical Society Student Texts #: A Gentle Introduction to Homological Mirror Symmetry
Raf Bocklandt
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Paperback
Not defined - 400pg
30 Sep 2021 UK
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9781108728751
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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.

A Gentle Introduction to Homological Mirror Symmetry
Classical and Discrete Functional Analysis with Measure Theory

Raf Bocklandt is Lecturer in Mathematics at the University of Amsterdam.
Status: Active
ISBN-13: 9781108728751
Published: 30 Sep 2021
Published In: United Kingdom
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Format: Paperback
Pages: 400

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