# winding number and fundamental group

The winding number is an analytic way to define an explicit isomorphism

 $W[\bullet:z_{0}]\colon\thinspace\pi_{1}(\mathbb{C}\setminus z_{0})\to\mathbb{Z}$

from the fundamental group of the punctured (at $z_{0}$) complex plane to the group of integers.

Title winding number and fundamental group WindingNumberAndFundamentalGroup 2013-03-22 12:58:12 2013-03-22 12:58:12 Dr_Absentius (537) Dr_Absentius (537) 5 Dr_Absentius (537) Result msc 30A99 msc 55M25