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.

Stokes Matrices and Monodromy for the Quantum Cohomology of Projective Spaces

Guzzetti, Davide
1999-01-01

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.
1999
207
341
383
http://dx.doi.org/10.1007/s002200050729
Guzzetti, Davide
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13293
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