Lectures on Gromov-Witten invariants of orbifolds

Details Lectures on Gromov-Witten invariants of orbifolds Lectures on Gromov-Witten invariants of orbifolds

2005-12-15

arxiv.org/abs/math/0512372v3

Mathematics

Algebraic Geometry

A confusing typographical error fixed (thanks to Eric Katz)

Scientific paper

These are lecture notes of a C.I.M.E. course I gave at Cetraro, June 6-11 2005. The theory described is the version of Chen-Ruan's Gromov-Witten theory of orbifolds developed by Graber, Vistoli and me in the algebraic setting, but with introduction beginning in Kontsevich's formula on rational plane curves and through Gromov-Witten theory of algebraic manifolds. As this is not a joint paper, I finally get to give direct credit to Vistoli's beautiful ideas! In the appendix, I include, with permissions, two relevant letters Kontsevich wrote to Borisov in July 1996. People who study motivic integration might want to read and understand something they have found confounding.

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