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arXiv · 2403.19823

Maffei's action and symplectic Springer action for quiver varieties

Yaochen Wu
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Abstract

We examine the relationship between the actions of two Weyl groups on the cohomology of a smooth quiver variety: the Maffei's action of the Weyl group associated to the quiver, and the symplectic Springer action of the Namikawa-Weyl group of the affine quiver variety. We show there is a natural map from the former group to the latter, which is an embedding in favorable situations, and this map intertwines their actions on the cohomology. This answers a question raised in arXiv:1904.10497.

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Yaochen Wu. 2024-03-28. Maffei's action and symplectic Springer action for quiver varieties. https://arxiv.org/abs/2403.19823

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