English

Stokes matrices for the quantum differential equations of some Fano varieties

Classical Analysis and ODEs 2014-07-14 v2

Abstract

The classical Stokes matrices for the quantum differential equation of projective n-space are computed, using multisummation and the so-called monodromy identity. Thus, we recover the results of D. Guzzetti that confirm Dubrovin's conjecture for projective spaces. The same method yields explicit formulas for the Stokes matrices of the quantum differential equations of smooth Fano hypersurfaces in projective n-space and for weighted projective spaces.

Keywords

Cite

@article{arxiv.1211.5266,
  title  = {Stokes matrices for the quantum differential equations of some Fano varieties},
  author = {John Alexander Cruz Morales and Marius van der Put},
  journal= {arXiv preprint arXiv:1211.5266},
  year   = {2014}
}

Comments

20 pages. Introduction has been changed. Small corrections in the text