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.
Buryak, Jianghao Xu, and Di Yang,Bihamiltonian tests for integrable systems associated to rank-1F-CohFTs, nlin/2601.13203
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Reconstruction of F-cohomological field theories on moduli of compact type
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.