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arxiv: 1403.1719 · v3 · pith:64KNWJAVnew · submitted 2014-03-07 · 🧮 math-ph · math.AG· math.MP

Double ramification cycles and integrable hierarchies

classification 🧮 math-ph math.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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  1. Reconstruction of F-cohomological field theories on moduli of compact type

    math.AG 2026-04 unverdicted novelty 7.0

    Proves an analogue of Givental-Teleman reconstruction for F-cohomological field theories on moduli of compact type and applies it to reconstruct extended r-spin classes while deducing kappa-class relations.