By Fabrizio Catanese, Marco Manetti
Modern methods to the research of symplectic 4-manifolds and algebraic surfaces mix a variety of suggestions and assets of proposal. Gauge conception, symplectic geometry, pseudoholomorphic curves, singularity thought, moduli areas, braid teams, monodromy, as well as classical topology and algebraic geometry, mix to make this essentially the most bright and energetic components of study in arithmetic. it's our wish that the 5 lectures of the current quantity given on the C.I.M.E. summer time institution held in Cetraro, Italy, September 2-10, 2003 could be priceless to humans operating in similar parts of arithmetic and may turn into normal references on those topics.
The quantity is a coherent exposition of an energetic box of present study targeting the advent of latest tools for the examine of moduli areas of complicated constructions on algebraic surfaces, and for the research of symplectic topology in size four and higher.
Read or Download Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 (Lecture Notes in Mathematics) PDF
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