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            | Abstract |  
            | We construct eternal mean curvature flows of tori in perturbations of the standard unit sphere
 
. This has
 applications to the study of the Morse homologies of area functionals over the space of embedded
 tori in 
.
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            | Keywords
                eternal mean curvature flows, singular perturbation, Morse
                homology
               |  
          
            | Mathematical Subject Classification
                Primary: 53E10
               |  
          
            | Milestones
                Received: 3 June 2020
               
                Revised: 30 November 2021
               
                Accepted: 12 December 2021
               
                Published: 15 February 2023
               |  |