An open string analogue of Viterbo functoriality

  title={An open string analogue of Viterbo functoriality},
  author={Mohammed Abouzaid and Paul Seidel},
  journal={Geometry \& Topology},
In this preprint, we look at exact Lagrangian submanifolds with Legendrian boundary inside a Liouville domain. The analogue of symplectic cohomology for such submanifolds is called “wrapped Floer cohomology”. We construct an A1 ‐structure on the underlying wrapped Floer complex, and (under suitable assumptions) an A1 ‐ homomorphism realizing the restriction to a Liouville subdomain. The construction of the A1 ‐structure relies on an implementation of homotopy direct limits, and involves some… 

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