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Weyl symmetry for curve counting invariants via spherical twists

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If you have a question about this talk, please contact Dhruv Ranganathan .

The curve counting invariants of Calabi—Yau 3-folds exhibit symmetries induced by the action of derived autoequivalences. I will give a brief overview of the subject and explain some recent development. In joint work with M. Moreira we obtain the Weyl symmetry along a ruled divisor, a new rationality result and functional equation for the generating function of stable pairs invariants. The underlying derived autoequivalence involves spherical twists.

This talk is part of the Algebraic Geometry Seminar series.

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