Introducing a moment map whose zero locus is the group of symplectomorphisms
of the real four-dimensional torus, we exhibit a gradient flow that can be made
into a strictly parabolic flow by mean of a DeTurck trick (famously known for
its use in the study of the Ricci flow), showing the local existence and
regularity for the solutions of this flow and hence showing that the group of
symplectomorphisms of the real four-dimensional torus is locally contractible.
This work follows the ideas introduced by Yann Rollin in [3], even though the
moment map picture comes from different considerations.

Este artículo explora los viajes en el tiempo y sus implicaciones.

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