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Monodromy reflection at a square-root branch point

Let

W (z) = \int_{z_{0}}^{z} \frac{q ( t )}{P ( t )} d t,

where

P

has a simple zero at

a

, and let

A

be the limiting value of

W

at

a

on one sheet. Analytic continuation once around

a

changes the sign of the square root and hence of

W^{'}

. The continued primitive agrees at

a

with the original one, so it is

W ⟼ 2 A - W .

Table of contents 86 1
- Translation generated by two square-root monodromy reflections Monodromy reflection at a square-root branch point 31

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