Hodge Integrals and Integrable Hierarchies
Jian Zhou
Abstract
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.
Create a lesson
Related papers
Morphism spaces on low degree hypersurfaces
Hrishabh Mishra
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
Michał Kapustka, Marco Rampazzo, Prajwal Samal
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
Connor Stewart
The Hurwitz existence problem in prime degree
Jijian Song, Hailin Wen, Zebao Zhang
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
Andrew Obus, Padmavathi Srinivasan, Connor Stewart