Kevin McGerty

activity

20022024

most citedKirwan surjectivity for quiver varieties

38 citations · 72 across the 16 of their papers we have counts for

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Showing 2010Show all

3 papers · 1 filter

math.QA2010

On the geometric realization of the inner product and canonical basis for quantum affine $sl_{n}$

Kevin McGerty

We give a geometric interpretation of the inner product on the modified quantum group of $sl^_{n}$ . We also give some applications of this interpretation, including a…

math.RT2010★ 2 cited

Microlocal KZ functors and rational Cherednik algebras

Kevin McGerty

Following the work of Kashiwara-Rouquier and Gan-Ginzburg, we define a family of exact functors from category $O$ for the rational Cherednik algebra in type $A$ to represe…

math.RT2010

On the centre of the cyclotomic Hecke algebras of $G (m, 1, 2)$

Kevin McGerty

We compute the centre of the cyclotomic Hecke algebra attached to $G (m, 1, 2)$ and show that if $q \neq = 1$ it is equal to the image of the centre of the affine Hecke algebra $\Ha$. W…

On the geometric realization of the inner product and canonical basis for quantum affine sln​

Microlocal KZ functors and rational Cherednik algebras

On the centre of the cyclotomic Hecke algebras of G(m,1,2)

On the geometric realization of the inner product and canonical basis for quantum affine $sl_{n}$

On the centre of the cyclotomic Hecke algebras of $G (m, 1, 2)$