Given a manifold $M$ and point in its interior, the point-pushing map describes diffeomorphism that pushes along closed path. This defines homomorphism from fundamental group of to isotopy classes diffeomorphisms fix basepoint. is well-studied dimension $d=2$ part Birman exact sequence. Here we study, for any $d\geq 3$ $k\geq 1$, $k$-th braid homotopy equivalences $k$-punctured $M \smallsetminu...

With the advancement in 3D scanning technology, there has been a surge of interest use point clouds science and engineering. To facilitate computations analyses clouds, prior works have considered parameterizing them onto some simple planar domains with fixed boundary shape such as unit circle or rectangle. However, geometry may lead to undesirable distortion parameterization. It is therefore m...

the use of stokes boundary values problems for the determination of the geoid requires that gravity anomalies (as boundary values) are known on geoid (as boundary). while, the gravity observations are measured on the earth's surface, to obtain boundary data, the surface gravity anomalies does are downward from the terrain onto geoid. for downward continuation (dwc) of surface gravity anoma...