Aa. Kozhevnikov, RELATION BETWEEN HELICITY, LINKING, AND WRITHING NUMBERS OF THE CLOSED NIELSEN-OLESEN STRINGS, Physical review. D. Particles and fields, 52(10), 1995, pp. 6043-6049
An explicit relation is derived between the helicity of the vector hel
d corresponding to the configuration of the closed U(1) Nielsen-Olesen
strings and such quantitative characteristics of the curved contours
as the linking and writhing numbers. The direct evaluation of the writ
hing number for the closed string containing a helical segment is pres
ented.