Paul Seidel

Hohenzollern-jahrbuch

Ivan Smith

Gang Tian

Marco Manetti

Denis Auroux

Bernd Siebert

Fabrizio Catanese

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.

Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 2-10, 2003

Symplectic 4-Manifolds and Algebraic Surfaces

Dieses mit grosser Hingabe verfasste Buch befasst sich mit dem Verhaltnis Friedrichs des Grossen zur bildenden Kunst. Tatsachlich war der Einfluss des ausgewiesenen Freundes der Kunst wesentlich grosser als allgemein angenommen und allein seine Sammlungen pragten weite Teile der zeitgenossischen Kunstschaffenden. Das akribisch recherchierte Werk darf getrost heute noch als Stand der Dinge angesehen werd

Friedrich der Große und sein Einfluss auf die bildende Kunst

The central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, which together constitute the Fukaya category. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained account of the necessary homological algebra. Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

Fukaya Categories and Picard-Lefschetz Theory

This wide-ranging presentation of applied superconductivity, from fundamentals and materials right up to the details of many applications, is an essential reference for physicists and engineers in academic research as well as in industry. Readers looking for a comprehensive overview on basic effects related to superconductivity and superconducting materials will expand their knowledge and understanding of both low and high Tc superconductors with respect to their application. Technology, preparation and characterization are covered for bulk, single crystals, thins fi lms as well as electronic devices, wires and tapes. The main benefit of this work lies in its broad coverage of significant applications in magnets, power engineering, electronics, sensors and quantum metrology. The reader will find information on superconducting magnets for diverse applications like particle physics, fusion research, medicine, and biomagnetism as well as materials processing. SQUIDs and their usage in medicine or geophysics are thoroughly covered, as are superconducting radiation and particle detectors, aspects on superconductor digital electronics, leading readers to quantum computing and new devices.

Paul Seidel

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