Steenrod Operators, the Coulomb Branch and the Frobenius Twist, I

Gus Lonergan

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arXiv · 1712.03711

Steenrod Operators, the Coulomb Branch and the Frobenius Twist, I

Gus Lonergan

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Abstract

In Part I, we use Steenrod's construction to prove that the quantum Coulomb branch is a Frobenius-constant quantization. We will also demonstrate the corresponding result for the $K$-theoretic version of the quantum Coulomb branch. In Part II, we use the same method to construct a functor of categorical $p$-center between the derived Satake categories with and without loop-rotation, which extends the Frobenius twist functor for representations of the dual group.

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BibTeX RIS

Gus Lonergan. 2018-01-13. Steenrod Operators, the Coulomb Branch and the Frobenius Twist, I. https://arxiv.org/abs/1712.03711

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