Abstract
In this article, we study the rational cohomology rings of Voisin’s Hilbert schemes associated with a symplectic compact four-manifold . We prove that these rings can be universally constructed from and , and that Ruan’s crepant resolution conjecture holds if is a torsion class. Next, we prove that for any almost-complex compact four-manifold , the complex cobordism class of depends only on the complex cobordism class of .
Citation
Julien Grivaux. "Topological properties of Hilbert schemes of almost-complex four-manifolds II." Geom. Topol. 15 (1) 261 - 330, 2011. https://doi.org/10.2140/gt.2011.15.261
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