Holding those fasts in Bavel: Pesachim 54b (See Rashi "Ayn")
How long do we wait during a drought before we begin to hold fasts: Taanit 6a-b
Defining the type of drought that warrants fasting: Taanit 6b
Having an intermediary daven on behalf of the community: Taanit 8a
The First Set of Fasts
Doing work: Pesachim 54b
Eating during Sunset: Pesachim 54b
The Second Set of Fasts
Doing work: Pesachim 54b, Moed Katan 15b
One who does work after the Fast will never see benefit: Pesachim 50b
Eating during Sunset: Pesachim 54b
Bathing: Moed Katan 15b
Placing a finger in water: Pesachim 54b
Wearing [leather] shoes: Moed Katan 15b