Date/Time Date(s) - 12/02/20263:30 pm - 4:30 pm
Speaker: Jumpei Yasuda (Osaka Metropolitan University)
Location: Hamilton Hall, Room 312
Title: 2-plat 2-knots in the 4-sphere
Abstract: In knot theory, 2-bridge knots form an important class and serve as model cases for computing knot invariants. In this talk, we generalize 2-bridge knots to 2-knots, that is, 2-spheres smoothly embedded in the 4-sphere, which are called 2-plat 2-knots. To this end, we focus on the concept of the plat closure of braids. These knots are ribbon 2-knots and are parametrized by rational numbers. We also propose conjectures concerning their classification and several related properties.