Mathematical Research Letters

Volume 7, Issue 1, January 2000 pp. 111-121.

Tautological formal Frobenius manifold structures on a Frobenius algebra

Authors: Jian Zhou
Author institution: Texas A\&M University

Summary: We give some tautological constructions of formal Frobenius manifold structures on a Frobenius algebra. As a consequence, one can construct a version of ``quantum cohomology" for any connected oriented closed manifold, in the sense that it is a deformation given by a function which satisfies the WDVV equations. We compute the potential functions for complex projective spaces.

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