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Homological Mirror Symmetry for the Quartic Surface
 
Paul Seidel Massachusetts Institute of Technology, Cambridge, MA
Front Cover for Homological Mirror Symmetry for  the Quartic Surface
Available Formats:
Electronic ISBN: 978-1-4704-2282-0
Product Code: MEMO/236/1116.E
129 pp 
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Front Cover for Homological Mirror Symmetry for  the Quartic Surface
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Homological Mirror Symmetry for the Quartic Surface
Paul Seidel Massachusetts Institute of Technology, Cambridge, MA
Available Formats:
Electronic ISBN:  978-1-4704-2282-0
Product Code:  MEMO/236/1116.E
129 pp 
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2362015
    MSC: Primary 53; Secondary 14; 18;

    The author proves Kontsevich's form of the mirror symmetry conjecture for (on the symplectic geometry side) a quartic surface in \(\mathbb{C} P^3\).

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. $A_{\infty }$-categories
    • 3. Deformation theory
    • 4. Group actions
    • 5. Coherent sheaves
    • 6. Symplectic terminology
    • 7. Monodromy and negativity
    • 8. Fukaya categories
    • 9. Computations in Fukaya categories
    • 10. The algebras $Q_4$ and $Q_{64}$
    • 11. Counting polygons
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Volume: 2362015
MSC: Primary 53; Secondary 14; 18;

The author proves Kontsevich's form of the mirror symmetry conjecture for (on the symplectic geometry side) a quartic surface in \(\mathbb{C} P^3\).

  • Chapters
  • 1. Introduction
  • 2. $A_{\infty }$-categories
  • 3. Deformation theory
  • 4. Group actions
  • 5. Coherent sheaves
  • 6. Symplectic terminology
  • 7. Monodromy and negativity
  • 8. Fukaya categories
  • 9. Computations in Fukaya categories
  • 10. The algebras $Q_4$ and $Q_{64}$
  • 11. Counting polygons
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