This paper presents a novel approach to understanding relativity through the lens of the
triangle solutions. Triangle solutions will serve as a mathematical model for relativity. Using …

Given any smooth fibration of the unit 3-sphere by great circles, we show that the distribution
of 2-planes orthogonal to the great circle fibres is a tight contact structure, a fact well known …

If the vorticity field of an ideal fluid is tangent to a foliation, additional conservation laws
arise. For a class of zero-helicity vorticity fields, the Godbillon-Vey (GV) invariant of foliations …

The subject of this work is a topological field theory with a non-semisimple gauge group and
local observables that are both metric independent and gauge invariant. The observables …

We provide an alternative proof that Koschorke's $\kappa $-invariant is injective on the set of
link homotopy classes of $ n $-component homotopy Brunnian links $ BLM (n) $. The …

Koschorke introduced a map from the space of closed n‐component links to the space of
maps from the n‐torus to the ordered configuration space of n‐tuples of points in R 3. He …

What Gauss Knew about Knots & Braids Page 1 What Gauss Knew about Knots & Braids
Minh-Tâm Quang Trinh Massachusetts Institute of Technology Page 2 This talk is inspired by the …

Given a closed Riemannian manifold and a pair of multicurves in it, we give a formula
relating the linking number of the latter to the spectral theory of the Laplace operator acting …