Though I have posted a lot on blouse “borrowings” from the West, one thing that differentiates the Indian version is that the midriff is normally exposed.  There is a long history to the choli/kanchuki and modern representations of historical attire often depict a choli, a lower garment that is tied like a dhoti and an upper scarf.  This picture for example is an Amar Chitra Katha representation of the heroine of Kacha-Devayani with her friends.

This often appears to travel back to the West mainly as something vaguely Eastern and erotic, of course the lower garment is almost always a skirt.  I shall separately post on this.