Enumerative Invariants in Algebraic Geometry and String Theory

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005
2008
ISBN: 978-3-540-79813-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1947, 210 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 347 g

Reihe: Lecture Notes in Mathematics

Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.

Zielgruppe

Research

Autoren/Hrsg.

Thaddeus, Michael

Marino, Marcos

Vakil, Ravi

Behrend, Kai

Manetti, Marco

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie

Inhaltsverzeichnis

Lectures on Gromov–Witten Invariants of Orbifolds.- Lectures on the Topological Vertex.- Floer Cohomology with Gerbes.- The Moduli Space of Curves and Gromov–Witten Theory.

Über Autor(innen)

Dan Abramovich is a Professor of Mathematics at Brown University, working on Birational Geometry and Moduli Spaces.

Marco Manetti is a Professor of Mathematics at Sapienza University of Rome, working on Algebraic Geometry and Deformation Theory.