3 papers
math.CO2025
Generalized chord diagrams and weight systems
M. Kazarian, E. Krasilnikov, S. Lando +1
Weight systems are functions on chord diagrams satisfying Vassiliev's -term relations. They originate in the theory of finite type knot invariants. Recent developments in unders…
math.CO2024
Universal Polynomial Weight System
Maxim Kazarian, Zhuoke Yang
We introduce a universal weight system (a function on chord diagrams satisfying the -term relation) taking values in the ring of polynomials in infinitely many variables whose p…
math.CO2024
The universal -weight system and the chromatic polynomial
M. Kazarian, N. Kodaneva, S. Lando
In a recent paper Zhuoke Yang, New approaches to weight system, Izvestiya Mathematics, 2023, vol. 77:6, 150--166; arXiv:2202.12225 (2022) a construction of a we…