The phrase "index of arrow cap S to the first power " likely refers to the Index of a Vector Field on a circle ( cap S to the first power winding number of a map from cap S to the first power
If you run a web server and don’t want strangers browsing your arrow/s1 folder:
By day, Oliver maintains his public image as a carefree billionaire to deflect suspicion. By night, he operates as "The Hood" (the vigilante later known as the Green Arrow), using his elite archery and combat skills to hunt down those who have "failed this city".