Fixed point indices of homeomorphisms defined on the torus
Fixed point indices of homeomorphisms defined on the torus
Let h : T^{2}arrow T^{2} be a homeomorphism on the 2-dimensional torus T^{2} isotopic to the identity map.We assume that two fixed points of h have been found.Then, we classify all the other fixed points into Nielsen classes and find some relations among fixed point indices of h .