Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space
Michael Finkelberg, Victor Ginzburg, Andrei Ionov, Alexander, Kuznetsov
TL;DR
This paper investigates the geometric and topological properties of the Uhlenbeck compactification of the Calogero-Moser space, revealing its structure through Gieseker compactification and intersection cohomology calculations.
Contribution
It introduces a smooth Gieseker compactification that resolves the Uhlenbeck compactification, enabling the computation of intersection cohomology stalks.
Findings
Gieseker compactification is smooth and provides a small resolution.
Computed intersection cohomology stalks of the Uhlenbeck compactification.
Established geometric relations between compactifications.
Abstract
We study the natural Gieseker and Uhlenbeck compactifications of the rational Calogero-Moser phase space. The Gieseker compactification is smooth and provides a small resolution of the Uhlenbeck compactification. This allows computing the IC stalks of the Uhlenbeck compactification.
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