Quantum relatives of the Alexander polynomial

By Oleg Viro. 2007

70 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6f421d87449458b827cdd866a562ae368c35830d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Antonio Sartori
4. Francesco Costantino
5. C. Blanchet

In Geometry and Topology

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Antonio Sartori
4. Francesco Costantino
5. C. Blanchet
6. Jonathan R. Kujawa

In Mathematical Physics

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Antonio Sartori
4. Francesco Costantino
5. C. Blanchet

Citations in the corpus

• The Alexander polynomial as quantum invariant of links (2013, methodology): “resentation can be constructed using a solution of the Yang-Baxter equation, which comes from the action of the R-matrix of Uq(gl(1|1)) [KS91] (or alternatively of Uq(sl 2) for q a root of unity; see [Vir06] for the parallel between gl(1|1) and sl 2). In other words, the key-point of the constructio”
• Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants (2014, background): “For r = 2, the invariant F ′ of C \ (2Z+ 1)-colored trivalent graphs in S(3) is related to the invariant ∆2 defined by Viro in [71] by ∀T, F ′(T ) = (−2i)∆2( ←− T )”