Geometric Wedge Products of Two Currents and Push Forward a Current by an Automorphism of $\mathbb{P}^2$

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Harmonic Currents of Finite Energy and Laminations, J. E. Fornaess and N. Sibony, GAFA, Geom, Funct, Anal, $2005$, $962-1003$.

Page $993$.

Let $\mathbb{P}^2$ be the Complex Projective Space and $$\varphi_{\varepsilon}:\mathbb{P}^2\longrightarrow \mathbb{P}^2$$$$\varphi_{\varepsilon}([a:b:c])=[a:b+\varepsilon a:c]$$ where $\varepsilon \in \mathbb{C}$, $\varphi_{\varepsilon}$ is an automorphism of $\mathbb{P}^2$.

Let $T$ be a $(1,1)$ harmonic current on $\mathbb{P}^2$.

Define $T_{\varepsilon}:=(\varphi_{\varepsilon})_*(T)$.

Th questions are

  1. Suppose that $\omega$ is a $(1,1)$ form on $\mathbb{P}^2$, How to compute $T_{\varepsilon}(\omega)$???

  2. What does the "geometric wedge product $T \bigwedge T_{\varepsilon}$" mean?

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