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Chern numbers of manifolds with torus action

Published 17 Jun 2015 in math.AT | (1506.05355v1)

Abstract: We show that every set of numbers that occurs as the set of Chern numbers of an almost complex manifold $M{2n}$, $n\geqslant 3$, may be realized as the set of Chern numbers of a connected almost complex manifold with an almost complex action of two-dimensional compact torus.

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