Justin Murray

activity

20192026

collaborators

3 papers

math.GT2026

Locally Euclidean Discretized Graph Configuration Spaces

Justin Murray, Zach Wilcher

We investigate discretized graph configuration spaces as defined by Aaron Abrams in his PhD thesis in 2000. Specifically, we extend Abrams' work by completely classifying which one…

math.SG2023

The homotopy cardinality of the representation category for a Legendrian knot

Justin Murray

Given a Legendrian knot in $(R^{3}, ker (d z - y d x))$ one can assign a combinatorial invariants called ruling polynomials. These invariants have been shown to recover not only…

math.SG2019

Legendrian DGA Representations and the Colored Kauffman Polynomial

Justin Murray, Dan Rutherford

For any Legendrian knot $K$ in standard contact $R^{3}$ we relate counts of ungraded ( $1$ -graded) representations of the Legendrian contact homology DG-algebra $(\mathcal{A…