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Homological mirror symmetry for the quartic surface / Paul Seidel.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 236, no 1116.Publication details: Providence : American Mathematical Society, 2015.Description: v, 129 p. : illustrations ; 26 cmISBN:
  • 9781470410971 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction -- 2. A[infinity]-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 Q4 and Q64 -- 11. Counting polygons -- References.
Summary: The author proves Kontsevich's form of the mirror symmetry conjecture for (on the symplectic geometry side) a quartic surface in $\mathbb{C} P^3$.
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Includes bibliographical references.

1. Introduction --
2. A[infinity]-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 Q4 and Q64 --
11. Counting polygons --
References.

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

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