Scotiabank Arena - stupid question about my coat...

I'm coming from the UK to the Toronto show on 28th January. I have a seat ticket. Since there might be a lot of waiting around outside I am obviously going to need to wrap up warm. Do I just keep all my coat and layers under my seat or is it possible to get to the venue and queue inside so I don't need to wear too many layers? I've seen that there is no coat check at the arena.

Thanks!