​Bl​1​(P​2​)

For projective space X=Bl​1​(P​2​) the Landau-Ginzburg potential is f(z​1​,z​2​)=z​1​+z​2​+1/z​1+1/z​1​z​2. And the LG-system is given by ​z​1​-1/z​1-1/z​1​z​2​=z​2​-1/z​1​z​2​=0. The exceptional collection is given by {0,H,H-E,2H-E}.
The action of the deformation of the potential ​z​1​+z​2​+(1-t)/z​1+1/z​1​z​​2​ is given in the ​z​1​ and z​2​ coordinates by​:

​The action of the deformation of the potential z​1​+z​2​+1/z​1​+(1-t)/z​1​z​2 is given in the z​1 and z​2 coordinates by
​The action of the monodromies in the z​1 and the z​2 coordinates is given by:
​Action of e​itz​1​+z​2​+1/z​1+​1/z​1​z
​Action of z​1​+e​itz​2​+1/z​1​+1/z​1z​2 and z​1+z​2+1/z​1+e​it/z​1z​2
Action of z​1+z​2+e​it/z​1+1/z​1z​2
Action for z​1+e​itz​2+1/z​1+e​it​/z​1z​2 and z​1+z​2+​e​it/z​1+e​it/z​1z​2