Depends on which yeast strain you are using to ferment the beer. I'm assuming you used an American ale strain since it's popular for IPAs. It's a hardy strain so it should start up again, but you really want to make sure the temperatures don't fall below 62F because it starts flocculating. I have heard that if the yeast is in a cold environment it might go dormant and then it can be hard to revive it, but I think your fermentation will be fine if you warm the fermenter up.
You should try some lagers, they would be perfect for your cold temperatures.