A Torres formula for twisted Reidemeister torsion
Peter Seokhee Seong
TL;DR
This paper extends the classical Torres formula to the twisted Reidemeister torsion setting, providing a new proof of Morifuji's generalization that closely resembles the original formula, enhancing understanding of link invariants.
Contribution
It offers a novel proof of Morifuji's twisted Torres formula using Reidemeister torsion, aligning the result more closely with the original Torres formula.
Findings
New proof of Morifuji's twisted Torres formula
Reidemeister torsion used to relate link invariants
Enhanced conceptual understanding of twisted Alexander invariants
Abstract
The Torres formula, which relates the Alexander polynomial of a link to the Alexander polyomial of its sublinks, admits a generalization to the twisted setting due to Morifuji. This paper uses twisted Reidemeister torsion to obtain a second proof of Morifuji's result that is closer in appearance to Torres' original formula.
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Taxonomy
TopicsGrouting, Rheology, and Soil Mechanics · Nonlinear Waves and Solitons · Dynamics and Control of Mechanical Systems