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    Gentle Introduction to Homological Mirror Symmetry

Gentle Introduction to Homological Mirror Symmetry

Raf Bocklandt
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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.
      Format: Paperback / softback CONTRIBUTORS: Raf Bocklandt EAN: 9781108728751 COUNTRY: United Kingdom PAGES: WEIGHT: 628 g HEIGHT: 228 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2021-08-19 CITY: GENRE: MATHEMATICS / Topology WIDTH: 150 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry, Algebraic topology, Quantum physics (quantum mechanics and quantum field theory), Mathematical physics

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      Raf Bocklandt is Lecturer in Mathematics at the University of Amsterdam.
      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.
      Format: Paperback / softback CONTRIBUTORS: Raf Bocklandt EAN: 9781108728751 COUNTRY: United Kingdom PAGES: WEIGHT: 628 g HEIGHT: 228 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2021-08-19 CITY: GENRE: MATHEMATICS / Topology WIDTH: 150 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry, Algebraic topology, Quantum physics (quantum mechanics and quantum field theory), Mathematical physics

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      Be the first to write a review
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      Raf Bocklandt is Lecturer in Mathematics at the University of Amsterdam.

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