(AP) — The Kansas Supreme Court will hear arguments Tuesday over whether the Democrat who wants to drop out of the U.S. Senate race must stay on the ballot anyway, a dispute which could have a big effect on Republican hopes of recapturing a Senate majority. Taylor's exit seemed to set up a clear two-person race between the three-term incumbent, Republican Pat Roberts, and wealthy independent Greg Orman, who many believe has a chance to unseat Roberts head to head. After his announcement, Taylor stopped campaigning, but Secretary of State Kris Kobach, a conservative Republican who strongly backs Roberts, declared that Taylor didn't comply with a state election law limiting when nominees can withdraw. [...] the 78-year-old Roberts looked vulnerable after emerging from a tough primary race against a tea party challenger, and he's been dogged by questions about owning a Washington-area home while listing rented space in the Dodge City home of two supporters as his official residence.