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Homological Mirror Symmetry

New Developments and Perspectives
Buch | Hardcover
XI, 272 Seiten
2008 | 2009
Springer Berlin (Verlag)
978-3-540-68029-1 (ISBN)

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Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years. The present volume bridges a gap in the literature by providing a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives. With contributions by K. Fukaya, M. Herbst, K. Hori, M. Huang, A. Kapustin, L. Katzarkov, A. Klemm, M. Kontsevich, D. Page, S. Quackenbush, E. Sharpe, P. Seidel, I. Smith and Y. Soibelman, this volume will be a reference on the topic for everyone starting to work or actively working on mathematical aspects of quantum field theory.

The Symplectic Geometry of Cotangent Bundles From a Categorical Viewpoint.- B-Type D-Branes in Toric Calabi-Yau Varieties.- Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions.- Gauge Theory, Mirror Symmetry, and the Geometric Langlands Program.- Homological Mirror Symmetry and Algebraic Cycles.- On Non-Commutative Analytic Spaces Over Non-Archimedean Fields.- Derived Categories and Stacks in Physics.

Erscheint lt. Verlag 27.10.2008
Reihe/Serie Lecture Notes in Physics
Zusatzinfo XI, 272 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 540 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Hochenergiephysik / Teilchenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Algebra • category theory • duality in quantum field theory • Gauge Theory • mirror manifolds • mirror symmetry • Ring Theory • Spiegelsymmetrie
ISBN-10 3-540-68029-2 / 3540680292
ISBN-13 978-3-540-68029-1 / 9783540680291
Zustand Neuware
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