DIRICHLET BRANES AND MIRROR SYMMETRY PDF

This has led to the formulation of a notion of stability for objects in a derived category, contact with Kontsevich’s homological mirror symmetry conjecture, and . This is the second of two books that provide the scientific record of the school. The first book, Strings and Geometry, edited by Michael R. PDF | This monograph builds on lectures at the Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string .

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Print Price 1 Label: In terms of these the statement of mirror symmetry says that passing to mirror CYs exchanges the A-model with the B B -model and conversely:.

Mathematics > Algebraic Geometry

Looking for beautiful books? The topological A-model can be expressed in terms of symplectic geometry of a variety and the topological B-model can be expressed in terms of the algebraic geometry of a variety. Other books in this series. Symmetty 59no. Smith, Homological mirror symmetry for the four-torusDuke Math.

Publication Month and Year: These developments have led to a great deal of new mathematical work. Mirror symmetry is related to the T-duality on each fiber of an associated Lagrangian fibration Strominger-Yau-Zaslow Zaslow, Mirror symmetry is T T -duality as pages —.

Skip to main content Accessibility information. This has led to exciting new work, including the Strominger—Yau—Zaslow conjecture, which used the theory of branes to propose a geometric basis for mirror symmetry, the theory of stability conditions on triangulated categories, and a physical basis for the McKay correspondence. The Best Books of Goodreads is the world’s largest site for readers with brahes 50 million reviews.

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A natural sequel to the first Clay monograph on Mirror Symmetry, it presents the new ideas coming out of the interactions of string theory and algebraic geometry in a coherent logical context. D1-braneD3-braneD5-brane.

Check out the top books mirtor the year on our page Best Books of This is called mirror symmetry. RR-fielddifferential K-theory.

mirror symmetry in nLab

Cumrun VafaShing-Tung Yau eds. Context Duality duality abstract duality: Request a correction Enlighten Editors: The authors explain how Kontsevich’s conjecture is equivalent to the identification of two different categories of Dirichlet branes. Dirichlet Branes and Mirror Symmetry.

Deriving the matrix model arXiv: Dirichlet Branes and Mirror Symmetry. One difficulty in understanding all aspects of this work is that it requires being able to speak two different languages, the language of string theory and the language of algebraic geometry. Its overall goal is to explore the physical and mathematical aspects of Dirichlet branes.

The authors were not satisfied to tell their story twice, from separate mathematics and physics points of view. The group of distinguished mathematicians and mathematical physicists who produced this monograph worked as a team to create a unique volume.

See the history of this page for a list of all contributions to it. Maxim Kontsevich, Yan Soibelman, Homological mirror symmetry and torus fibrationsmath. Computation via topological recursion in matrix models and all- genus?

They relate the ideas to active areas of research that include the McKay correspondence, topological quantum field theory, and stability structures. Print Price 2 Label: Clay mathematics monographs 4. The authors explain how Kontsevich’s conjecture is equivalent to the identification of two different categories of Dirichlet branes. Zaslow, Categorical mirror symmetry: Dirichlet Branes and Mirror Symmetry.

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Dirichlet Branes and Mirror Symmetry

Author s Product display: They also explore the ramifications and current state of the Strominger-Yau-Zaslow conjecture. Libraries and resellers, please contact cust-serv ams. The narrative is organized around two principal ideas: In fact one considers mirror symmetry for degenerating families for Calabi-Yau 3-folds in large volume limit which may be expressed precisely via the Gromov-Hausdorff metric.

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Ordering on the AMS Bookstore is limited to individuals for personal use only. This monograph builds on lectures at the Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry, presenting an updated discussion that includes subsequent developments.

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