Stokes matrices and monodromy of the quantum cohomology of projective spaces
D Guzzetti - Communications in mathematical physics, 1999 - Springer
Communications in mathematical physics, 1999•Springer
In this paper we compute Stokes matrices and monodromy of the quantum cohomology of
projective spaces. This problem can be formulated in a “classical” framework, as the
problem of computation of Stokes matrices and monodromy of differential equations with
regular and irregular singularities. We prove that the Stokes' matrix of the quantum
cohomology coincides with the Gram matrix in the theory of derived categories of coherent
sheaves. We also study the monodromy group of the quantum cohomology and we show …
projective spaces. This problem can be formulated in a “classical” framework, as the
problem of computation of Stokes matrices and monodromy of differential equations with
regular and irregular singularities. We prove that the Stokes' matrix of the quantum
cohomology coincides with the Gram matrix in the theory of derived categories of coherent
sheaves. We also study the monodromy group of the quantum cohomology and we show …
Abstract
In this paper we compute Stokes matrices and monodromy of the quantum cohomology of projective spaces. This problem can be formulated in a “classical” framework, as the problem of computation of Stokes matrices and monodromy of differential equations with regular and irregular singularities. We prove that the Stokes' matrix of the quantum cohomology coincides with the Gram matrix in the theory of derived categories of coherent sheaves. We also study the monodromy group of the quantum cohomology and we show that it is related to hyperbolic triangular groups.
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