Gromov compactness for squiggly strip shrinking in pseudoholomorphic quilts [article]

Nathaniel Bottman, Katrin Wehrheim
2018 arXiv   pre-print
We establish a Gromov compactness theorem for strip shrinking in pseudoholomorphic quilts when composition of Lagrangian correspondences is immersed. In particular, we show that figure eight bubbling occurs in the limit, argue that this is a codimension-0 effect, and predict its algebraic consequences -- geometric composition extends to a curved A_∞-bifunctor, in particular the associated Floer complexes are isomorphic after a figure eight correction of the bounding cochain. An appendix with
more » ... ix Schmäschke provides examples of nontrivial figure eight bubbles.
arXiv:1503.03486v3 fatcat:7gtpks6rana2tdjlqki2vi3c5u