### $\mathcal{L}$-invariants and Darmon cycles attached to modular forms

Let $f$ be a modular eigenform of even weight $k\ge 2$ and new at a prime $p$ dividing exactly the level with respect to an indefinite quaternion algebra. The theory of Fontaine-Mazur allows to attach to $f$ a monodromy module ${D}_{f}^{FM}$ and an $\mathcal{L}$-invariant ${\mathcal{L}}_{f}^{FM}$. The first goal of this paper is building a suitable $p$-adic integration theory that allows us to construct a new monodromy module ${D}_{f}$ and $\mathcal{L}$-invariant ${\mathcal{L}}_{f}$, in the spirit of Darmon. The two monodromy modules are isomorphic, and in particular the two $\mathcal{L}$-invariants are equal....