Product Description: The author proves Kontsevich's form of the mirror symmetry conjecture for (on the symplectic geometry side) a quartic surface in $\mathbb{C} P^3$.

Product Description: The investigation of discrete symmetries is a fascinating subject which has been central to the agenda of physics research for 50 years, and has been the target of many experiments, ongoing and in preparation, all over the world. This book approaches the subject from a somewhat less traditional angle: while being self-contained and suitable to the reader who wants to acquire a solid knowledge of the topic, it puts more emphasis on the experimental aspects of the field, trying to provide a wider picture than usual and to convey the intellectual challenge of experimental physics...read more

Product Description: 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...read more

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Product Description: Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge...read more

Product Description: This volume is an updated edition of "Essays on Mirror Manifolds", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development; Vafa introduced the concept of quantum cohomology and several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau and Borcea discussed current knowledge about Calabi-Yau manifolds...read more