On the cohomology of Calogero-Moser spaces
C\'edric Bonnaf\'e (IMAG), Peng Shan (LMO)
TL;DR
This paper calculates the equivariant cohomology of smooth Calogero-Moser spaces and related symplectic resolutions, providing new insights into their topological and geometric structures.
Contribution
It offers the first explicit computation of equivariant cohomology for these spaces and related resolutions, advancing understanding of their symplectic geometry.
Findings
Explicit equivariant cohomology formulas for Calogero-Moser spaces
Identification of topological invariants of symplectic resolutions
Connections between Calogero-Moser spaces and symplectic quotient singularities
Abstract
We compute the equivariant cohomology of smooth Calogero-Moser spaces and some associated symplectic resolutions of symplectic quotient singularities.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology