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 /

• Main Authors: Abramovich, Dan (Author), Mariño, Marcos (Author), Thaddeus, Michael (Author), Vakil, Ravi (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Behrend, Kai (Editor), Manetti, Marco (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1947
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Differential geometry.; Quantum physics.; Algebraic Geometry.; Differential Geometry.; Quantum Physics.

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...

Table of Contents:

• 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.