Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces

by Yuri Manin

This monograph summarizes some of the developments that have taken place in quantum cohomology in the last decade, but does not explain the history or physical motivations. Manin begins by developing the local and global geometric and analytic theory of Frobenius manifolds, then introduces the more algebraic aspects formal Frobenius manifolds, moduli spaces and their homology operads. The last two chapters focus on the algebraic geometric constructions of the Gromov-Witten invariants. Annotation c. Book News, Inc., Portland, OR (booknews.com)

303 pages, Hardcover

First published September 1, 1999