Four-manifolds with shadow-complexity zero
Geometric Topology
2011-09-06 v1
Abstract
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 S^2 x S^1, plus some complex projective spaces. We deduce a classification of all 4-manifolds with finite fundamental group and shadow-complexity zero.
Cite
@article{arxiv.0909.0168,
title = {Four-manifolds with shadow-complexity zero},
author = {Bruno Martelli},
journal= {arXiv preprint arXiv:0909.0168},
year = {2011}
}
Comments
63 pages, 75 figures