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Stokes matrices and monodromy of the quantum cohomology of projective spaces

TitleStokes matrices and monodromy of the quantum cohomology of projective spaces
Publication TypeJournal Article
Year of Publication1999
AuthorsGuzzetti, D
JournalComm. Math. Phys. 207 (1999) 341-383
Abstract

n 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.

URLhttp://hdl.handle.net/1963/3475
DOI10.1007/s002200050729

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