arXiv:2307.13671 Abstract | arXiv Analytics

arXiv:2307.13671 [math.AG]Abstract References Reviews Resources

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

Published 2023-07-25Version 1

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.

Categories: math.AG, math.RT

Keywords: quot scheme, smooth curve, yangian representation, natural basis, smooth projective curve

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