Abstract:Given a 4-manifold X bounded by a Seifert manifold, one can use the circle action on the boundary to define a diffeomorphism on X, called the boundary Dehn twist. Such boundary Dehn twist naturally arises from singularity theory. A recent result by Konno-Mallick-Taniguchi shows that when X is a certain Milnor fiber, this boundary Dehn twist is topologically isotopic to the identity bu...
AbstractIn several occasions, I have talked about some recent progresses on the unstable homotopy of manifolds made by Stephen Theriault and myself. But no details of the proof were presented. In this homotopy seminar talk, I would like to focus on one work in this project, that is, the loop homotopy decomposition of manifolds stabilized by projective spaces. We may work out some proofs togethe...