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.
Gromov–Witten invariants and integrable hierarchies of topological type / Dubrovin, Boris. - 234:(2014), pp. 141-172. [10.1090/trans2/234]
Gromov–Witten invariants and integrable hierarchies of topological type
Dubrovin, Boris
2014-01-01
Abstract
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.File in questo prodotto:
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