The Atiyah-Singer index theorem and the gauge field copy problem
arXiv:math-ph/9905022 · doi:10.1088/0305-4470/30/15/032
Abstract
K-theory allows us to define an analytical condition for the existence of `false' gauge field copies through the use of the Atiyah-Singer index theorem. After establishing that result we discuss a possible extension of the same result without the help of the index theorem and suggest possible related lines of work.
LaTeX, 7 pages, no figures