94 citations · 342 across the 41 of their papers we have counts for
48 papers
Instanton slices and their superpolynomials
Ivan Cherednik
The key theorem is a connection between motivic superpolynomials of plane curve singularities in any ranks with superpolynomials of the corresponding instanton slices, Nekrasov-typ…
Superpolynomials of algebraic links
Ivan Cherednik
Theory of motivic superpolynomials is developed, including its extension to algebraic links colored by rows, relations to -functions of plane curve singularities, the justificat…
Zeta-polynomials, superpolynomials, DAHA and plane curve singularities
Ivan Cherednik
We begin with modular form periods, a focal point of several Yuri Manin's works. The similarity is discussed between the corresponding zeta-polynomials and superpolynomials of alge…
Integral formulas for DAHA inner products
Ivan Cherednik, Bradley Hicks
The main aim is to obtain integral formulas for DAHA coinvariants and the corresponding inner products for any values of the DAHA parameters. In the compact case, our approach is s…
Discrete Poisson hardcore 1D model and reinfections
Ivan Cherednik
We suggest a new hardcore Poisson-type distribution for Young diagrams with the row lengths from some finite list. A discrete variant of the time-ordered Matérn II process in 1D is…
Gröbner cells of punctual Hilbert schemes in dimension two
Ivan Cherednik
We begin with a comprehensive discussion of the punctual Hilbert scheme of the regular two-dimensional local ring in terms of the Gröbner cells. These schemes are the most degenera…