Circle-Valued Angle Structures and Obstruction Theory
Circle-Valued Angle Structures and Obstruction Theory
We study spaces of circle-valued angle structures, introduced by Feng Luo, on ideal triangulations of 3-manifolds. We prove that the connected components of these spaces are enumerated by certain cohomology groups of the 3-manifold with [Formula: see text]-coefficients. Our main theorem shows that this establishes a geometrically natural bijection between …