2015-03-01
On the existence of real R-matrices for virtual link invariants
Publication
Publication
We characterize the virtual link invariants that can be described as partition function
of a real-valued R-matrix, by being weakly reflection positive. Weak reflection positivity is defined
in terms of joining virtual link diagrams, which is a specialization of joining virtual link diagram
tangles. Basic techniques are the first fundamental theorem of invariant theory, the Hanlon-Wales
theorem on the decomposition of Brauer algebras, and the Procesi-Schwarz theorem on inequalities
for closed orbits.
| Additional Metadata | |
|---|---|
| Cornell University Library | |
| arXiv.org e-Print archive | |
| Organisation | Networks and Optimization |
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Regts, G., Schrijver, L., & Sevenster, B. (2015). On the existence of real R-matrices for virtual link invariants. arXiv.org e-Print archive. Cornell University Library . |
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