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arXiv · 2307.13671

The cohomology of the Quot scheme on a smooth curve as a Yangian representation

Alina Marian·Andrei Neguţ
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Abstract

We describe the action of the shifted Yangian of sl_2 on the cohomology groups of the Quot schemes of 0-dimensional quotients on a smooth projective curve. We introduce a commuting family of r operators in the positive half of the Yangian, whose action yields a natural basis of the Quot cohomology. These commuting operators further lead to formulas for the operators of multiplication by the Segre classes of the universal bundle.

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Alina Marian, Andrei Neguţ. 2023-07-25. The cohomology of the Quot scheme on a smooth curve as a Yangian representation. https://arxiv.org/abs/2307.13671

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