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We show that for a \textbf{multiple-connected} space the low energy strainfields excitations are given by instantons. Dirac fermions with a chiral massand a pairing field propagates effectively in a multiple conected space. Whenthe elastic strain field response is probed one finds that it is given by the\textbf{Pointriagin} characteristic. As a result the space time metric ismodified. Applying an external stress field we observe that the phonon pathbends in the transverse direction to the initial direction.

Propagation of Phonon in a Curved Space Induced by Strain Fields Instantons