will discuss a construction which associates a dg catefory over Q to a compact symplectic
manifold (arXiv:1511.08961). The category has the same features as the Fukaya category
|so, conjecturally, the latter should be equivalent to a full subcategory of the former one.
The construction uses no pseudo-holomorphic discs and is based on the microlocal analysis
of sheaves according to Kashiwara-Schapira.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/6477