35 citations · 35 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Combinatorial solutions to integrable hierarchies
M. Kazarian, S. Lando
We give a review of modern approaches to constructing formal solutions to integrable hierarchies of mathematical physics, whose coefficients are answers to various enumerative prob…
Giambelli-type formula for subbundles of the tangent bundle
M. E. Kazarian, B. Shapiro
Let us consider a generic n-dimensional subbundle V of the tangent bundle TM on some given manifold M. Given V one can define different degeneracy loci S_r(CV), r=(r_1<= r_2<= r_3<…