Twisted Alexander invariants for the braid group associated with the Tong-Yang-Ma representation
Akihiro Takano
TL;DR
This paper computes the twisted Alexander invariant for the braid group using the Tong-Yang-Ma representation, providing new insights into the algebraic structure of braids and their invariants.
Contribution
It introduces the computation of the twisted Alexander invariant specifically for the braid group with the Tong-Yang-Ma representation, a novel application in this context.
Findings
Explicit formula for the twisted Alexander invariant obtained.
Enhanced understanding of braid group invariants.
Potential applications in knot theory and low-dimensional topology.
Abstract
In this paper, we compute the twisted Alexander invariant of the braid group associated with the Tong-Yang-Ma representation.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory