Main winding number theorem for the fundamental domain boundary #
The generalized winding number of fdBoundary around
interior points equals -1 (clockwise).
theorem
RectHomotopyProof.generalizedWindingNumber_fdBoundary_eq_neg_one
(p : ℂ)
(hp_norm : ‖p‖ > 1)
(hp_re : |p.re| < 1 / 2)
(hp_im_pos : 0 < p.im)
(hp_im : p.im < HHeight)
:
For interior points p in the fundamental domain, the generalized winding number of the FD boundary around p equals -1 (clockwise orientation).