Gromov - Witten invariants and integrable hierarchies of topological type

  title={Gromov - Witten invariants and integrable hierarchies of topological type},
  author={Boris Dubrovin},
  journal={arXiv: Mathematical Physics},
  • B. Dubrovin
  • Published 3 December 2013
  • Mathematics
  • arXiv: Mathematical Physics
We outline two approaches to the construction of integrable hierarchies associated with the theory of Gromov - Witten invariants of smooth projective varieties. We argue that a comparison of these two approaches yields nontrivial constraints on Chern numbers of varieties with semisimple quantum cohomology. 

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