It's not actually the "cold", but the lack of light that slows down the laying. Shorter days = less eggs unless you supplement lighting.
I always thought it was cause of the cold haha, learn new things everyday
Are they molting? All my older birds started molting and almost all quit laying. That is about 45 hens all stopped at once. They also lay less in the shorter day length. Some chickens won't lay at all in the shorter day length, others aren't affected. Sometimes the younger birds less than a year old will continue to lay over the winter then when they get older, they don't. Once mine all finish their molt, the lights on timer will go on.
Only one hen (the polish) looks like she's molting. I got an egg from one of the gold sex links today, so I'm guessing its from the shorter days, I have a spot light on my back porch by their coop I can turn on when it starts to get dark