Hodge Integrals and Integrable Hierarchies
Copyright policy )Hodge Integrals and Integrable Hierarchies
We show that the generating series of some Hodge integrals involving one or two partitions are tau-functions of the KP hierarchy or the 2-Toda hierarchy respectively. We also formulate a conjecture on the connection between relative invariants and integrable hierarchies. The conjecture is verified in some examples.
- Tsinghua University China (People's Republic of)
Mathematics - Algebraic Geometry, FOS: Mathematics, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Hodge integrals, integrable hierarchies, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), topological vertex, relative Gromov-Witten invariants, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, FOS: Mathematics, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Hodge integrals, integrable hierarchies, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), topological vertex, relative Gromov-Witten invariants, Algebraic Geometry (math.AG)
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