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In the first part of the talk, we will introduce basics and related notions of contact and symplectic geometry, i.e., vocabulary needed for the second part of the talk. It is planned to be accesible to all graduate students. In the second part: we will examine symplectomorphisms of higher dimensional symplectic manifolds by using fibered Dehn twists first introduced by Biran and Giroux. The Weinstein domain of interest in this talk is $W^{2n}=\{f(z_0, \dots, z_n)=\delta\} \cap B^{2n+2}$, given by a homogeneous polynomial $f$, which has a Boothby-Wang type boundary. Despite the fact that many fibered Dehn twists cannot be expressed as a product of Dehn twists, we are still able to show that $\partial W$ has an open book decomposition carrying a fibered Dehn twist which is symplectically isotopic to a product of $k(k -1)^n$ right-handed Dehn twists along Lagrangian spheres. Moreover, we show that this identification yields a generalization of the classical chain relation on surfaces. This is joint work with Russell Avdek.