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arXiv · 1506.00298

Chow ring of the moduli space of stable sheaves supported on quartic curves

Kiryong Chung·Han-Bom Moon
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Abstract

Motivated by the computation of the BPS-invariants on a local Calabi-Yau threefold suggested by S. Katz, we compute the Chow ring and the cohomology ring of the moduli space of stable sheaves of Hilbert polynomial $4m+1$ on the projective plane. As a byproduct, we obtain the total Chern class and Euler characteristics of all line bundles, which provide a numerical data for the strange duality on the plane.

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Kiryong Chung, Han-Bom Moon. 2015-05-31. Chow ring of the moduli space of stable sheaves supported on quartic curves. https://arxiv.org/abs/1506.00298

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