4 papers
Asymptotically short generalizations of -design curves
Ayodeji Lindblad
Ehler and Gröchenig defined spherical -design curves to be curves whose associated line integrals exactly average all degree at most polynomials. These authors posed the que…
Designs related through projective and Hopf maps
Ayodeji Lindblad
We verify a construction which, for the reals, complex numbers, quaternions, or octonions, builds a spherical -design by placing a spherical -design on each …
Boundary Dehn twists are often commutators
Ayodeji Lindblad
For any complete intersection of even complex dimension or any connected sum thereof (or, more generally, any space among certain broad classes of smooth manifolds), we concret…
Asymptotically optimal -design curves on
Ayodeji Lindblad
A $\textit{spherical $t$-design curve}$ was defined by Ehler and Gröchenig to be a continuous, piecewise smooth, closed curve on the sphere with finitely many self-intersections w…