Gromov - Witten invariants and integrable hierarchies of topological type
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2013
- DOI:
- 10.48550/arXiv.1312.0799
- arXiv:
- arXiv:1312.0799
- Bibcode:
- 2013arXiv1312.0799D
- Keywords:
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- Mathematical Physics;
- Mathematics - Algebraic Geometry
- E-Print:
- References added