Symplectic 4-manifolds and algebraic surfaces : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2-10, 2003 /
Symplectic 4-manifolds and algebraic surfaces : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2-10, 2003 /
Denis Auroux [and others] ; editors, Fabrizio Catanese, Gang Tian.
- Berlin : Springer, ©2008.
- 1 online resource (xiii, 345 pages) : illustrations
- Lecture notes in mathematics, 1938 0076-8434 ; .
- Lecture notes in mathematics (Springer-Verlag) ; 1938. .
Includes bibliographical references.
Lefschetz Pencils, Branched Covers and Symplectic Invariants -- Differentiable and Deformation Type of Algebraic Surfaces, Real and Symplectic Structures -- Smoothings of Singularities and Deformation Types of Surfaces -- Lectures on Four-Dimensional Dehn Twists -- Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem.
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.
English.
9783540782797 3540782796 3540782788 9783540782780
10.1007/978-3-540-78279-7 doi
978-3-540-78278-0 Springer http://www.springerlink.com
Surfaces, Algebraic--Congresses.
Symplectic manifolds--Congresses.
Manifolds (Mathematics)--Congresses.
Surfaces algébriques--Congrès.
Variétés symplectiques--Congrès.
Variétés (Mathématiques)--Congrès.
Superficies algebraicas
Variedades (Matemáticas)
Manifolds (Mathematics)
Surfaces, Algebraic
Symplectic manifolds
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
QA571 / .S96 2008eb QA3 / .L28 no. 1938
516.352
Includes bibliographical references.
Lefschetz Pencils, Branched Covers and Symplectic Invariants -- Differentiable and Deformation Type of Algebraic Surfaces, Real and Symplectic Structures -- Smoothings of Singularities and Deformation Types of Surfaces -- Lectures on Four-Dimensional Dehn Twists -- Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem.
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.
English.
9783540782797 3540782796 3540782788 9783540782780
10.1007/978-3-540-78279-7 doi
978-3-540-78278-0 Springer http://www.springerlink.com
Surfaces, Algebraic--Congresses.
Symplectic manifolds--Congresses.
Manifolds (Mathematics)--Congresses.
Surfaces algébriques--Congrès.
Variétés symplectiques--Congrès.
Variétés (Mathématiques)--Congrès.
Superficies algebraicas
Variedades (Matemáticas)
Manifolds (Mathematics)
Surfaces, Algebraic
Symplectic manifolds
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
QA571 / .S96 2008eb QA3 / .L28 no. 1938
516.352