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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 . We present a justification on the conjecture on the mirror construction of D- branes in Aganagic-Vafa [2]. We apply the techniques employed in. 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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Mathematics > Algebraic Geometry

AmazonGlobal Ship Orders Internationally. These developments have led to a great deal of new mathematical work. Near an orbifold point the world volume of D-branes is given by quiver gauge theories and D-brane configurations correspond to representations of quivers which satisfy the F-flatness and D-flatness conditions.

Graduate students and research mathematicians interested in mathematical aspects of quantum field theory, in particular string theory and mirror symmetry. The book continues with detailed treatments of the Strominger-Yau-Zaslow conjecture, Calabi-Yau metrics and homological mirror symmetry, and discusses more recent physical developments.

Home Contact Us Help Free delivery worldwide. Orbifold resolution by D-branes – Douglas, Michael R.

Dirichlet branes, homological mirror symmetry, and stability – INSPIRE-HEP

Get fast, free shipping with Amazon Prime. The notion of pi-stability reduces to theta-stability at orbifold points and mu-stability at the large volume limit, as required.


Braid group actions on derived categories of coherent sheaves – Seidel, Paul et al. This book is suitable for graduate students and researchers with either a physics or mathematics background, who are interested in the interface between string theory and algebraic geometry.

The authors explain how Kontsevich’s conjecture is equivalent to the identification of two different categories of Dirichlet branes.

They relate the ideas to active areas of research that include the McKay correspondence, topological quantum field theory, and stability structures. A Course for Mathematicians. As an example, if X and Y are simplicial complexes, then they will have homotopy equivalent geometric realizations X and Y if and only if one can find a simplicial complex Z and maps f: The physical existence conditions for branes are then discussed and compared in the context of mirror symmetry, culminating in Bridgeland’s definition of stability structures, and its applications to the McKay correspondence and quantum geometry.

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Inthe introduction of Calabi—Yau manifolds into physics as a way to compactify ten-dimensional space-time has led to exciting cross-fertilization between physics and mathematics, especially with the discovery of mirror symmetry in Hence the homology shifts in degree by one by taking the suspension. One of these items ships sooner than the other. Customers who viewed this item also viewed.


These developments have led to a great deal of new mathematical work. Share your thoughts with other customers.

Dirichlet Branes and Mirror Symmetry : Bennett Chow :

brajes The essential philosophy of derived categories is to retain as much as possible the information given in the complexes, i. Learn more about Amazon Giveaway. Calabi-Yau moduli space, mirror manifolds and space-time topology change in string theory – Aspinwall, Paul S.

The authors were not satisfied to branew their story twice, from separate mathematics and physics points of view. This review is based on a reading of chapters of the book.

Amazon Music Stream millions of songs. Dirichlet Branes and Mirror Symmetry. We hope it will allow students and researchers who are familiar with the language of one of the two fields to gain acquaintance with the language of the other. Amazon Renewed Refurbished products with a warranty.

Looking for beautiful books? East Dane Designer Men’s Fashion. The book first introduces the notion of Dirichlet brane in the context of topological quantum field theories, and then reviews the basics of string theory.