6 papers
Cross-frequency amplification of perturbations in a laminar separation bubble using resolvent analysis
Md Rashidul Islam, Yiyang Sun
A large-eddy simulation (LES) of a laminar separation bubble (LSB) induced by an adverse pressure gradient over a flat plate is performed at an inflow displacement-thickness-based…
Ribbonness of a stable-ribbon surface-link, II. General case
Akio Kawauchi
It is shown that any handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link up to equivalences, so that every stable-ribbon surface-link is…
Whitehead aspherical conjecture via ribbon sphere-link
Akio Kawauchi
Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the co…
Kervaire conjecture on weight of group via fundamental group of ribbon sphere-link
Akio Kawauchi
Kervaire conjecture that the weight of the free product of every non-trivial group and the infinite cyclic group is not one is confirmed by confirming Conjecture Z of a knot exteri…
Classical Poincar{é} conjecture via 4D topology
Akio Kawauchi
The classical Poincar{é} conjecture that every homotopy 3-sphere is diffeomorphic to the 3-sphere is confirmed by Perelman in arXiv papers solving Thurston's program on geometriza…
Ribbonness of Kervaire's sphere-link in homotopy 4-sphere and its consequences to 2-complexes
Akio Kawauchi
M. A. Kervaire showed that every group of deficiency and weight is the fundamental group of a smooth sphere-link of components in a smooth homotopy 4-sphere. In the use…