Equivariant symplectic Hodge theory and the dGδ-lemma
Equivariant symplectic Hodge theory and the dGδ-lemma
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DOI：
10.4310/jsg.2004.v2.n2.a5
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发表时间：
2003-10
影响因子：
0.7
通讯作者：
Yi Lin;Reyer Sjamaar
中科院分区：
文献类型：
--
作者：
Yi Lin;Reyer Sjamaar
考虑具有强 Lefschetz 性质的辛流形上的紧李群的哈密顿作用。我们建立了 Merkulov-Guillemin $d\delta$-引理的等变版本和 Kirwan-Ginzburg 等变形式定理的改进版本，该定理表示每个上同调类都有一个 \emph{canonical} 等变扩展。
Consider a Hamiltonian action of a compact Lie group on a symplectic manifold which has the strong Lefschetz property. We establish an equivariant version of the Merkulov-Guillemin $d\delta$-lemma and an improved version of the Kirwan-Ginzburg equivariant formality theorem, which says that every cohomology class has a \emph{canonical} equivariant extension.