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arXiv · 2511.02449

Harder-Narasimhan Filtration on Moment Map for Quiver Representations

Ching Yan Timothy Yau
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Abstract

For a quiver without loops with many edges, we generalize the methods of Kac, Crawley-Boevey and Reineke and compute the dimension of Harder-Narasimhan strata of the zero set of the moment map. We notice a link between this dimension and the terms in the Kac's polynomial, which is given by the equivariant cohomology of this zero set.

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Ching Yan Timothy Yau. 2025-11-04. Harder-Narasimhan Filtration on Moment Map for Quiver Representations. https://arxiv.org/abs/2511.02449

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