The stereotype of the gay designer is so deeply ingrained in the culture that it is often assumed to be a fact. But one notion remains stubbornly unchanged from city to city, year to year. The global search is on for all that is new and different. NEW YORK - The last of this city’s Fashion Week revelers have drained their champagne glasses and the seasonal fashion train begins to roll through London, Milan and finally Paris, where the runway presentations wrap up in October.