Mathematics – Algebraic Geometry
Scientific paper
1996-08-22
Mathematics
Algebraic Geometry
21 pages, AMS-Tex, no figures
Scientific paper
We prove a general formula for the intersection form of two arbitrary monomials in boundary divisors. Furthermore we present a tree basis of the cohomology of $\overline {M}_{0,n}$. With the help of the intersection form we determine the Gram matrix for this basis and give a formula for its inverse. This enables us to calculate the tensor product of the higher order multiplications arising in quantum cohomology and formal Frobenius manifolds. In the context of quantum cohomology this establishes the explicit K\"unneth formula.
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