?
Operad of formal homogeneous spaces and Bernoulli numbers
Algebra & Number Theory. 2008. Vol. 2. No. 4. P. 407–433.
Merkulov S., American Mathematical Society, 2021.
Introduction into the theory of the Grothendieck-Teichmueller group ...
Added: September 30, 2026
Merkulov S., Letters in Mathematical Physics 2020 Vol. 110 P. 1425–1475
We introduce a new category of differential graded {\em multi-oriented}\, props whose representations (called homotopy algebras with branes) in a graded vector space require a choice of a collection of $k$ linear subspaces in that space, $k$ being the number of extra directions (if $k=0$ this structure recovers an ordinary prop); symplectic vector spaces equipped ...
Added: September 30, 2026
Kazaryan M., Krasilnikov E., Lando S. et al., Russian Mathematical Surveys 2025 Vol. 80 No. 6(486) P. 73–136
The paper is devoted to a description of the recent progress in understanding the extension of Lie algebra weight systems to permutations. Lie algebra weight systems are functions on chord diagrams arising naturally in Vassiliev's theory of finite-type knot invariants. These functions satisfy certain linear restrictions known as Vassiliev's 4-term relations.
Chord diagrams can be interpreted as fixed-point-free involutions in ...
Added: December 4, 2025
Ustinov A., В кн.: Теоретико-числовые методы в приближенном анализе.: МЦНМО, 2004.
Added: October 16, 2025
Ustinov A., Чебышевский сборник 2001 Т. 1 № 1 С. 52–71
This paper is devoted to applications of discrete analogs of Bernoulli polynomials — polynomials introduced by Korobov. In particular, summation and interpolation formulas are proved for functions defined on a discrete set of points. ...
Added: October 12, 2025