For visitors to East Hampton Town — and especially for the part-time residents who almost single-handedly keep the local economy afloat — the sight of overflowing garbage cans on public streets and beaches must be puzzling. How could a community with such wealth, one that supposedly prides itself on its aesthetic qualities, allow such unsightly heaps? How could the town’s work force and its elected officials look the other way? Is somebody on strike? Does no one care what the place looks like anymore?