Lower Bounds for Morse Index of Constant Mean Curvature Tori

In the paper, three lower bounds are given for the Morse indexof a constant mean curvature torus in Euclidean3-space, in termsof its spectral genus g. The first two lower bounds grow linearlyin g and are stronger for smaller values of g, while the thirdgrows quadratically in g but is weaker for smaller values ofg. 2000 Mathematics Subject Classification 53A10, 53A35.