Definition of gilets:
(n) :
(by extension) A sleeveless jacket resembling a waistcoat but generally closed at the neck; specifically, one which is padded to provide warmth.
(n) :
(historical) A waistcoat worn by a man.
(n) :
(historical) A bodice worn by a woman similar to a man's waistcoat; also, a decorative panel at the front of such a bodice, or worn separately.
(n) :
A surname, variant of Gillette