Title: Equivariant Double-Slice Genus and Symmetric Surfaces

Speaker: Malcolm Gabbard, Rutgers University-New Brunswick

Abstract: In this talk we will review definitions and properties of double-slice genus and equivariant 4-genus. Combining these ideas, we will define a notion of equivariant double-slice genus for strongly invertible knots and demonstrate and calculate effective bounds for the equivariant double-slice genus. Using these bounds, we will construct unknotted, symmetric spheres inside of the 4-sphere which do not equivariantly unknotted.