Really cool game! I love the ice skating/cutting mechanic. It took me a few attempts to get the hang of the controls but once I did it felt super slick and fun to just skate and jump around.
I think there's one big issue with this game that I think is worth pointing out - you're actually disincentivized to skate around. Since you're destroy the stage as you move around, he best strategy seems to be to stand still and let the goblins come to you. Maybe consider making it so goblins spawn randomly around the map and only come to attack you once you're within a certain range, that way you're incentivized to skate around the map to actually find the goblins.
Otherwise super slick game, well done!