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Double ramification cycles and integrable hierarchies

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arxiv 1403.1719 v3 pith:64KNWJAV submitted 2014-03-07 math-ph math.AGmath.MP

A. Buryak This is my paper · ORCID
classification math-phmath.AGmath.MP
keywords hierarchyassociatedcasecheckcohomologicalconjectureconstructioncycles
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It this paper we present a new construction of a hamiltonian hierarchy associated to a cohomological field theory. We conjecture that in the semisimple case our hierarchy is related to the Dubrovin-Zhang hierarchy by a Miura transformation and check it in several examples.

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Cited by 1 Pith paper

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  1. On the $K$-theoretic logarithmic double ramification class

    math.AG 2026-07 conditional novelty 7.0 of 10

    A K-theoretic logarithmic double ramification class is constructed, shown to satisfy a GL_r(Z)-invariant product formula in colimit log K-theory, and computed by a new stack-valued Thom–Porteous formula.

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