## Algebraic & Geometric Topology

### Random walk invariants of string links from R–matrices

#### Abstract

We show that the exterior powers of the matrix valued random walk invariant of string links, introduced by Lin, Tian, and Wang, are isomorphic to the graded components of the tangle functor associated to the Alexander polynomial by Ohtsuki divided by the zero graded invariant of the functor. Several resulting properties of these representations of the string link monoids are discussed.

#### Article information

Source
Algebr. Geom. Topol., Volume 16, Number 1 (2016), 569-596.

Dates
Revised: 22 May 2015
Accepted: 4 June 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841120

Digital Object Identifier
doi:10.2140/agt.2016.16.569

Mathematical Reviews number (MathSciNet)
MR3470710

Zentralblatt MATH identifier
1346.57018

#### Citation

Kerler, Thomas; Wang, Yilong. Random walk invariants of string links from R–matrices. Algebr. Geom. Topol. 16 (2016), no. 1, 569--596. doi:10.2140/agt.2016.16.569. https://projecteuclid.org/euclid.agt/1510841120

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