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We study the effect of the magnetic field line braiding in the solar atmosphere using topological methods. By measuring the topological entropy of the magnetic field line mapping we show that footpoint motions are capable of inducing highly non-trivial braided structures, which has a fundamental effect on the formation of current layers. Those braids can reach further up in the solar atmosphere, through which energy is transported.
Depending on the structure of the field close to the photosphere, such energy transport can be very efficient.