Gradient Ricci shrinkers satisfy topological constraints including bounded Betti numbers and a Hodge theorem via weighted L2 cohomology.
arXiv:math.DG/0303109 (2003)
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Topology of gradient Ricci shrinkers via weighted $L^2$ cohomology
Gradient Ricci shrinkers satisfy topological constraints including bounded Betti numbers and a Hodge theorem via weighted L2 cohomology.