Wrapped Floer Homology of Real Lagrangians and Volume Growth of Fibered Twists

Fibered twists are certain symplectomorphisms that can be defined on a Liouville domain whose boundary has a periodic Reeb flow. We investigate an entropy-type invariant, called the slow volume growth, of the component of fibered twists and give a uniform lower bound of the growth using wrapped Floer homology. We apply our results to examples from real symplectic manifolds. They admit so-called real Lagrangians, and we compute wrapped Floer homology using Morse-Bott techniques. This is joint work with Myeonggi Kwon and Junyoung Lee.