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Results tagged with integrable-systems
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user 17644
1
vote
0
answers
156
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Calogero-Moser eigenfunction
The folllowing function
\begin{equation}
J(t_1,t_2,t_3,m,h)=[(1-e^{t_1-t_2})(1-e^{t_2-t_3})(1-e^{t_1-t_3})]^{-m/h} e^{-\frac{a_1t_1+a_2t_2+a_3t_3}{h}}\sum_{k_{1,1},k_{2,1},k_{2,2}\ge0}e^{(t_1-t_2)k_{1 …
- 2,273
2
votes
Relation between affine flag and Grassmannian Steinberg variety
Sorry, this question itself is wrong!
Bezrukavnikov-Finkelberg-Mirković actually showed that the $G(\mathcal{O})$-equivariant $K$-theory of affine Grassmannian Steinberg variety $\mathcal{R} = \{ (x …
- 2,273
10
votes
2
answers
731
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Relation between affine flag and Grassmannian Steinberg variety
Let $\mathcal{K}=\mathbb{C}((t))$ be the field of formal Laurent series over $\mathbb{C}$, and by $\mathcal{O}=\mathbb{C}[[t]]$ the ring of formal power series over $\mathbb{C}$.
Given a semi-simple …
- 2,273
3
votes
0
answers
372
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J-function of cotangent bundle of complete flag variety
Givental and Kim showed that the $J$-function of the complete flag variety $Fl_n=SL_{n}/B$ becomes an eigenfunction of the Toda Hamiltonian. How about the $J$-function of the cotangent bundle $T^*Fl_ …
- 2,273