Corpus ID: 232428040

$L^2$-cohomology of quasi-fibered boundary metrics

@inproceedings{Kottke2021L2cohomologyOQ,
  title={\$L^2\$-cohomology of quasi-fibered boundary metrics},
  author={C. Kottke and Fr'ed'eric Rochon},
  year={2021}
}
We develop new techniques to compute the weighted L-cohomology of quasi-fibered boundary metrics (QFB-metrics). Combined with the decay of L-harmonic forms obtained in a companion paper, this allows us to compute the reduced L-cohomology for various classes of QFB-metrics. Our results applies in particular to the Nakajima metric on the Hilbert scheme of 4 points on C, for which we can show that the Vafa-Witten conjecture holds. Using the compactification of the monopole moduli space announced… Expand

References

SHOWING 1-10 OF 48 REFERENCES
Asymptotic Geometry of the Hitchin Metric
L2-Cohomology of Hyperkähler Quotients
Quasi-asymptotically conical Calabi-Yau manifolds
Vanishing of intersection numbers on the moduli space of Higgs bundles
The cohomology of the space of magnetic monopoles
Lectures on Hilbert schemes of points on surfaces
Weighted Hodge cohomology of iterated fibred cusp metrics
The McKay correspondence for finite subgroups of SL(3,\C)
...
1
2
3
4
5
...