Hodge Integrals and Integrable Hierarchies
نویسنده
چکیده
We show that the generating series of some Hodge integrals involving one or two partitions are τ -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.
منابع مشابه
Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
Article history: Received 23 October 2014 Received in revised form 27 October 2015 Accepted 25 January 2016 Available online 24 February 2016 Communicated by Ravi Vakil MSC: primary 53D45 secondary 37K10
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تاریخ انتشار 2003