This can be a broad subject typically mono is stiffer in the cold and in the clear waters during ice season the mono is much more visible . Fluorocarbons are the key when fishing these clear waters. Seaguar makes a nice range of flor to use first is the Tatsu line super limp strong the highest end Floro out there but is very pricey . Then there is the InvizX , 40% softer very low memory not my choice for ice fishing but great for spinning reel open water the line diameter is small size 8 lb has the diameter of 6 lb mono . Next is the AbrazX line GRAET abrasion resistance small diameter 8 lb rated size of 6lb mono . This line is available from 2 lb to 25 lb and for me is my choice for ice fishing . A little on the high end of the budget but well worth it in my opinion. Then comes the Red Label , once again small diameter as the others but 30% stronger knot strength , much lower in cost and probably the best selling line out of the line up. There are other Floros out there that work well Berkley Vanish , and tourney grade are also other nice koine but do not give the smaller line diameters that Seaguar gives.
Hope this helps some.