A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Gromov compactness for squiggly strip shrinking in pseudoholomorphic quilts
[article]
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
arXiv:1503.03486v3
fatcat:7gtpks6rana2tdjlqki2vi3c5u