Abstract
AbstractIn this section, we study representation theory of DAHA, strictly speaking, the spherical subalgebra of DAHA of type $$A_1$$ A 1 , in terms of brane quantization in the 2d A-model [85] on the moduli space of flat $${{\,\textrm{SL}\,}}(2,\mathbb {C})$$ SL ( 2 , C ) -connections on a once-punctured torus. The brane quantization lends itself well to a geometric approach to representation theory of spherical DAHA, which provides novel viewpoints.
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