There are many standard results in the stable homotopy group of spheres (or equivalently framed bordism groups), about which I would like to acquire better geometric understanding. For example I learned a lot from this MO question: third stable homotopy group of spheres via geometry?
I’d like to ask for another question. Let $\eta$ and $\nu$ be the generators of $\pi_1^{st}$ and $\pi_3^{st}$ (with $\eta^3=12\nu$), each generated by $U(1)$ and $SU(2)$ with Lie group framing. They satisfy $\eta\nu=0$, but how do I construct framed null bordism of $U(1) \times SU(2)$?
