24 citations · 201 across the 32 of their papers we have counts for
3 papers · 1 filter
Flat F-manifolds, F-CohFTs, and integrable hierarchies
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction to prove that the principal hierarchy of any semisimple (homogen…
Multiple Limit Cycles and Heteroclinic Loops in a Predator-prey System with Allee Effects in Prey
Alessandro Arsie, Chanaka Kottegoda, Chunhua Shan
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. A deteriorating environment changes weak Allee effects into strong ones. In…
Semisimple flat F-manifolds in higher genus
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
In this paper, we generalize the Givental theory for Frobenius manifolds and cohomological field theories to flat F-manifolds and F-cohomological field theories. In particular, we…