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# π Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2β10, 2003 by Denis Auroux, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith (auth.), Fabrizio Catanese, Gang Tian (eds.) β free download

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**Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2β10, 2003 free download by Denis Auroux, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith (auth.), Fabrizio Catanese, Gang Tian (eds.)**

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**Quantum cohomology: lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997 download pdf by K. Behrend, C. Gomez, V. Tarasov, G. Tian, P.de Bartolomeis, B. Dubrovin, C. Reina**

The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-...

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.

- Series:
**Lecture Notes in Mathematics 1938 Fondazione C.I.M.E., Firenze** - Author:
**Denis Auroux, Marco Manetti, Paul Seidel, Bernd Siebert, Ivan Smith (auth.), Fabrizio Catanese, Gang Tian (eds.)** - Year:
**2008** - Publisher:
**Springer-Verlag Berlin Heidelberg** - Language:
**English** - ISBN:
**9783540782780,3540782788,3540782796**

- File size:
**4 043 911** - Format:
**pdf**

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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, mo...

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This book is an expanded version of lectures given at a summer school on symplectic geometry in Nordfjordeid, Norway, in June 2001. The unifying feature of the book is an emphasis on Calabi-Yau manifolds. The first part discusses holonomy groups and calib...

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broa...

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broa...

The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-...

An account of lecture given at the Joint CIM/CIME Summer School held in Troia, Portugal, June 1-6, 1998. The mathematical problems dealt with in the text concern the optimization of some performance criterion where the criterion depends on the 'shape' of ...

The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-...

The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-...