• Corpus ID: 207852675

Sectorial descent for wrapped Fukaya categories

@article{Ganatra2018SectorialDF,
  title={Sectorial descent for wrapped Fukaya categories},
  author={Sheel Ganatra and J. F. Pardon and Vivek V. Shende},
  journal={arXiv: Symplectic Geometry},
  year={2018}
}
We develop a set of tools for doing computations in and of (partially) wrapped Fukaya categories. In particular, we prove (1) a descent (cosheaf) property for the wrapped Fukaya category with respect to so-called Weinstein sectorial coverings and (2) that the partially wrapped Fukaya category of a Weinstein manifold with respect to a mostly Legendrian stop is generated by the cocores of the critical handles and the linking disks to the stop. We also prove (3) a `stop removal equals localization… 
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