On the geometric realization of the inner product and canonical basis for quantum affine mathfrak{sl}_n
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geometricinnerproductbasiscanonicalgiveinterpretationmathfrak
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We give a geometric interpretation of the inner product on the modified quantum group of $\hat{\mathfrak{sl}}_n$. We also give some applications of this interpretation, including a positivity result for the inner product, and a new geometric construction of the canonical basis.
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