If you're talking about the act of carrying something:
* Leaving behind: This implies not carrying something, which is the opposite of carrying it in a knapsack.
* Discarding: This implies getting rid of something, the opposite of carrying it in a knapsack.
If you're talking about the type of bag:
* Suitcase: While not a direct opposite, a suitcase is typically larger and more formal than a knapsack.
* Purse: Again, not a direct opposite, but a purse is smaller and designed for carrying different items than a knapsack.
Ultimately, the best antonym for "knapsack" depends on the specific situation and what you're trying to communicate.