​​ ​Bl​2​(P​2​)

For X=Bl​2​(P​2​) the Landau-Ginzburg potential is f(z​1​,z​2​)=z​1​+z​2​+1/z​1+1/z​1​z​2​+1/z​2. And the LG-system is given by ​z​1​-1/z​1-1/z​1​z​2​=z​2​-1/z​2-1/z​1​z​2​=0. The exceptional collection is given by {0,H,H-E​1,H-E​2,2H-E​1-E​2}. The action of the deformation of the potential g​t(z​1,z​2)=z​1+z​2+1/z​1+1/z​1z​2+(1-t)/z​2 in the z​1 and z​2 coordinate is given by
​Action of e​itz​1​+z​2​+1/z​1+1/z​1​z​2​+1/z​2
​Action of z​1​+e​itz​2​+1/z​1+​1/z​1​z​2​+1/z​2
​Action of z​1+z​2+e​it/z​1+1/z​1z​2+1/z2
​Action of z​1+e​itz​2+1/z​1+e​it/z​1z​2+1/z2
​Action of z​1+z​2+1/z​1+e​it/z​1z​2+1/z​2
​Action of z​1+z​2+1/z​1+e​it/z​1z​2+e​it/z​1
​Action of z​1+z​2+e​it/z​1+e​it/z​1z​2+e​it/z​1
​Action of z​1+e​itz​2+e​it/z​1+1/z​1z​2+1/z​1
​Action of e​itz​1+z​2+1/z​1+1/z​1z​2+e​it/z​1