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arxiv: math/9904099 · v1 · submitted 1999-04-20 · 🧮 math.AG · math.CV· math.DG

Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces

D. Guzzetti This is my paper
classification 🧮 math.AG math.CVmath.DG
keywords cohomologyquantumstokesmatricesmatrixmonodromyprojectivespaces
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We compute Stokes matrices and monodromy for the quantum cohomology of projective spaces. We prove that the Stokes' matrix of the quantum cohomology coincides with the Gram matrix in the theory of derived categories of coherent sheaves.

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    Lecture notes review exact WKB analysis for ODEs and its combination with topological recursion and isomonodromy to compute monodromy and resurgent structures for Painlevé equations.