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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.
- Inhaltsverzeichnis (8 Kapitel)
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The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint
Seiten 1-26
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B-Type D-Branes in Toric Calabi–Yau Varieties
Seiten 1-18
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Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions
Seiten 1-58
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Gauge Theory, Mirror Symmetry, and the Geometric Langlands Program
Seiten 1-22
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Homological Mirror Symmetry and Algebraic Cycles
Seiten 1-28
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Inhaltsverzeichnis (8 Kapitel)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- Homological Mirror Symmetry
- Buchuntertitel
- New Developments and Perspectives
- Herausgeber
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- Anton Kapustin
- Maximilian Kreuzer
- Karl-Georg Schlesinger
- Titel der Buchreihe
- Lecture Notes in Physics
- Buchreihen Band
- 757
- Copyright
- 2009
- Verlag
- Springer-Verlag Berlin Heidelberg
- Copyright Inhaber
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-68030-7
- DOI
- 10.1007/978-3-540-68030-7
- Hardcover ISBN
- 978-3-540-68029-1
- Softcover ISBN
- 978-3-642-08767-7
- Buchreihen ISSN
- 0075-8450
- Auflage
- 1
- Seitenzahl
- XI, 272
- Themen
