A Connect Sum Formula for the BPS Invariant of Knot Complements
John Chae
TL;DR
This paper proposes a connect sum formula for a two-variable series invariant of knot complements and supports it with numerical evidence from torus knots.
Contribution
It introduces a new connect sum formula for the BPS invariant of knot complements and provides numerical validation for it.
Findings
The connect sum formula is consistent with numerical data for torus knots.
Numerical evidence supports the validity of the proposed formula.
Abstract
A connect sum formula for the two variable series invariant of a complement of knot is proposed. We provide two kinds of numerical evidence for the proposed formula by examining various torus knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics