A new description of cohomology of functions under an irrational rotation is given in terms of symmetry properties of the functions on subintervals of [0, 1]. This description yields a method for passing information about the cohomology classes for a given irrational to the cohomology classes for an equivalent irrational.
First published in Proceedings of the American Mathematical Society in 1998, published by the American Mathematical Society
Baggett, L. W., Medina, H. A., Merrill, K. D. Cohomology of Polynomials Under an Irrational Rotation, Proceedings of the American Mathematical Society. vol. 126 (1998) pp. 2909-2918.