Recurrence Relations and Asymptotics of Colored Jones Polynomials

Autor:	Tatiana Vladimirovna Dudnikova, D N Tulyakov, Alexander Ivanovich Aptekarev
Rok vydání:	2021
Předmět:	Pure mathematics Recurrence relation General Mathematics Volume conjecture Computer Science::Digital Libraries Hyperbolic volume Knot (unit) Colored Computer Science::Programming Languages Computer Science::Symbolic Computation Algebra over a field High order Complement (set theory) Mathematics
Zdroj:	Lobachevskii Journal of Mathematics. 42:2580-2595
ISSN:	1818-9962 1995-0802
DOI:	10.1134/s1995080221110056
Popis:	Abstract We consider $$q$$-difference equations for colored Jones polynomials. These sequences of polynomials are invariants for the knots and their asymptotics plays an important role in the famous volume conjecture for the complement of the knot to the $$3$$d sphere. We give an introduction to the theory of hyperbolic volume of the knots complements and study the asymptotics of the solutions of $$q$$-recurrence relations of high order.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dd5d79b527538d9569ffaf669ee8d72b https://doi.org/10.1134/s1995080221110056 Zobrazit plný text záznamu Full text from SpringerLink