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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Gentle Introduction to Homological Mirror Symmetry

A Gentle Introduction to Homological Mirror Symmetry

Bocklandt, Raf

Paperback

Series: London Mathematical Society Student Texts, Book 99

General MathematicsGeometry

ISBN10: 1108728758
ISBN13: 9781108728751
Publisher: Cambridge University Press
Published: Aug 19 2021
Pages: 404
Weight: 1.30
Height: 0.90 Width: 6.00 Depth: 9.00
Language: English
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.

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