The race for Louisville mayor remains a statistical dead heat between Republican Hal Heiner and Democrat Greg FischerThat's according to the latest Courier-Journal/WHAS11 Bluegrass Poll released Wednesday.The survey of 618 likely voters gives Fischer 47 percent support, with Heiner receiving 45 percent. The polls margin of error is plus or minus four percent.Both men received 45 percent in the previous Bluegrass Poll last month.Registered Democrats outnumber Republicans in Jefferson County by a 59 to 32 percent margin.The new poll gives independent Jackie Green two-percent support, down from three percent last month. Independents Jerry Mills and Nimbus Couzin received one-percent and zero percent, respectively.