TL;DR
This paper introduces a new complex-valued invariant for virtual rational tangles using Kauffman's bracket polynomial, extending classical invariants and providing a recursive computation method.
Contribution
It generalizes the classical fraction invariant to virtual tangles and offers a recursive formula for calculating this new invariant.
Findings
Defined a complex-valued invariant for virtual rational tangles
Provided recursive formula for invariant computation
Calculated multiple example invariants
Abstract
We use Kauffman's bracket polynomial to define a complex-valued invariant of virtual rational tangles that generalizes the well-known fraction invariant for classical rational tangles. We provide a recursive formula for computing the invariant, and use it to compute several examples.
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