Stability Conditions

Stability Conditions on Wrapped Fukaya Categories

Joint work with Sangjin Lee

We are investigating stability conditions on the wrapped Fukaya categories of surfaces, that are arisen from pseudo-Anasov surface automorphisms via the lamination they induce (compare with Haiden-Katzarkov-Kontsevich where they use quadratic differentials to create stability conditions on surfaces, but it is dimension specific). For the next step, we aim to generalise our method to higher dimensions using Lee‘s work, which generalised pseudo-Anasov construction and the resulting lamination to higher dimensions.