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arxiv: 1506.05355 · v1 · pith:IBGVNRVAnew · submitted 2015-06-17 · 🧮 math.AT

Chern numbers of manifolds with torus action

classification 🧮 math.AT
keywords numbersalmostcherncomplexactionmanifoldtoruscompact
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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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