Homological Mirror Symmetry

New Developments and Perspectives

Anton Kapustin, Maximilian Kreuzer, Karl-Georg Schlesinger (Herausgeber)

Buch | Softcover

XI, 272 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2009
Springer Berlin (Verlag)
978-3-642-08767-7 (ISBN)

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An ideal reference on the mathematical aspects of quantum field theory, this volume provides a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives.

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	22.10.2010
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XI, 272 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	431 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
ISBN-10	3-642-08767-1 / 3642087671
ISBN-13	978-3-642-08767-7 / 9783642087677
Zustand	Neuware