349 citations · 632 across the 11 of their papers we have counts for
12 papers
Thistlethwaite Theorems for Knotoids and Linkoids
Sergei Chmutov, Qingying Deng, Joanna A. Ellis-Monaghan +2
The classical Thistlethwaite theorem for links can be phrased as asserting that the Kauffman bracket of a link can be obtained from an evaluation of the Bollobás-Riordan polynomial…
Weight systems and invariants of graphs and embedded graphs
Maxim Kazaryan, Sergei Lando
We describe recent achievements in the theory of weight systems, which are functions on chord diagrams satisfying so-called -term relations. Our main attention is devoted to con…
Skew characteristic polynomial of graphs and embedded graphs
R. Dogra, S. Lando
We introduce a new one-variable polynomial invariant of graphs, which we call the skew characteristic polynomial. For an oriented simple graph, this is just the characteristic poly…
Real-normalized differentials with a single order pole
Igor Krichever, Sergei Lando, Alexandra Skripchenko
A meromorphic differential on a Riemann surface is said to be {\it real-normalized} if all its periods are real. Real-normalized differentials on Riemann surfaces of given genus wi…
Polynomial graph invariants and the KP hierarchy
Sergei Chmutov, Maxim Kazarian, Sergey Lando
We prove that the generating function for the symmetric chromatic polynomial of all connected graphs satisfies (after appropriate scaling change of variables) the Kadomtsev--Petvia…
On a weight system conjecturally related to
E. Kulakova, S. Lando, T. Mukhutdinova +1
We introduce a new series , , of integer valued weight systems. The value of the weight system on a chord diagram is a signed number of cycles of even len…