A First Course in String Theory
2.7 A more general construction for cones?
Consider the plane and the complex coordinate . We have seen that the identification , with an integer greater than two, can be used to construct a cone.
Examine now the identification
where and are relatively prime integers (their greatest common divisor is one).
Determine a fundamental domain for identification.
Given two relatively prime numbers a and b, there exists integers m and n such that .
Since M and N are relatively prime numbers, there exists integers m and n such that .
for some integers m and n.
As a result, a fundamental domain is provided by the points z that satisfy .
— Me@2021-03-09 04:58:02 PM
2021.03.09 Tuesday (c) All rights reserved by ACHK