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Title:
No cohomologically trivial non-trivial automorphism of generalized Kummer manifold
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Abstract:
We prove that the natural representaion, on the total Betti cohomolgy group, of the automorphism group of a hyperk\"ahler manifold deformation equivalent to a generalized Kummer manifold is faithful.Besides its own interest in hyperkaehler geometry, this is much inspired by a question of Professor Dusa McDuff, while the result is an answer in negative direction
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