3 citations · 7 across the 8 of their papers we have counts for
10 papers
Quantum Pick's Theorem in two dimensions
Moris Metin Bardavid, Ruth Lawrence
Consider an -dimensional sum of the form over lattice points which lie in , the scaling of an -dimensional rational po…
Jones rational coincidences
Ruth Lawrence, Ori Rosenstein
We investigate coincidences of the (one-variable) Jones polynomial amongst rational knots, what we call `Jones rational coincidences'. We provide moves on the continued fraction ex…
Quantitative towers in finite difference calculus approximating the continuum
R. Lawrence, N. Ranade, D. Sullivan
Multivector fields and differential forms at the continuum level have respectively two commutative associative products, a third composition product between them and various operat…
Explicit symmetric DGLA models of 3-cells
Itay Griniasty, Ruth Lawrence
We give explicit formulae for differential graded Lie algebra (DGLA) models of 3-cells. In particular, for a cube and an -faceted banana-shaped 3-cell with two vertices, edg…
Universal averages in gauge actions
Ruth Lawrence, Maor Siboni
We give a construction of a universal average of Lie algebra elements whose exponentiation gives (when there is an associated Lie group) a totally symmetric geometric mean of Lie g…
An explicit symmetric DGLA model of a triangle
Itay Griniasty, Ruth Lawrence
We give explicit formulae for a differential graded Lie algebra (DGLA) model of the triangle which is symmetric under the geometric symmetries of the cell. This follows the work of…
An explicit symmetric DGLA model of a bi-gon
Nir Gadish, Itay Griniasty, Ruth Lawrence
We give explicit formulae for a DGLA model of the bi-gon which is symmetric under the geometric symmetries of the cell. This follows the work of Lawrence-Sullivan on the (unique) D…
A formula for topology/deformations and its significance
Ruth Lawrence, Dennis Sullivan
The formula is with and , where $…
On Habiro's cyclotomic expansions of the Ohtsuki invariant
Ruth Lawrence, Ofer Ron
We give a self-contained treatment of Le and Habiro's approach to the Jones function of a knot and Habiro's cyclotomic form of the Ohtsuki invariant for manifolds obtained by surge…
A Rational Surgery Formula for the LMO Invariant
Dror Bar-Natan, Ruth Lawrence
We write a formula for the LMO invariant of a rational homology sphere presented as a rational surgery on a link in S^3. Our main tool is a careful use of the Aarhus integral and t…