These are transcripts of notes taken at (some of) the lectures
given at the Mittag-Leffler Institute during the first semester of
the year 1996/97Â on Enumerative geometry and its interaction
with theoretical physics. The first part of this collection
consists of notes from talks on the basics of quantum cohomology;
the second part treats more advanced topics in quantum cohomology;
the third part consists of background material and related topics;
an appendix gives a description of Kresch's C-program Farsta for
quantum cohomology computations. These notes are meant as a series
of snapshots of quantum cohomology as seen by the speakers at the
time of their lectures. The reader should bear in mind that quantum
cohomology is a growing and rapidly changing field. Many of the
writeups have been left in the form of the original talks, which
were usually more concerned with giving motivations and a point of
view, rather than conveying detailed proofs or attempting to survey
the considerably extensive literature on the subject.
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