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# Mathematical Research Letters

## Volume 7 (2000)

### Number 1

### Tautological formal Frobenius manifold structures on a Frobenius algebra

Pages: 111 – 121

DOI: http://dx.doi.org/10.4310/MRL.2000.v7.n1.a10

#### Author

#### Abstract

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.