Four-manifolds with Shadow-complexity Zero

نویسنده

  • BRUNO MARTELLI
چکیده

We prove that a closed 4-manifold has shadow-complexity zero if and only if it is a kind of 4-dimensional graph manifold, which decomposes into some particular blocks along embedded copies of S2 × S1, plus some complex projective spaces. We deduce a classification of all 4-manifolds with finite fundamental group and shadow-complexity zero.

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تاریخ انتشار 2009