In my talk I would like to explain how gravitation in 3D 
makes kinematics of particles deformed. I will show that 
the effective theory of 3D gravity coupled to a particle 
(with mass and/or spin) describes the system with a 
curved momentum space and non-commutative 
spacetime, with the scale provided by the Newton's 
constant. The case of many particles and their 
'topological' interactions will be briefly discussed.