Symplectic 4-Manifolds and Algebraic Surfaces

Released on by Denis Auroux
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  • Symplectic 4-Manifolds and Algebraic Surfaces Book Detail

  • Author : Denis Auroux
  • Release Date : 2008-04-17
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 363
  • ISBN 13 : 3540782788
  • File Size : 99,99 MB
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Symplectic 4-Manifolds and Algebraic Surfaces by Denis Auroux PDF Summary

Book Description: 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.

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Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties