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Hodge diamonds of the Landau--Ginzburg orbifolds
Alexey Basalaev, Andrei Ionov
Consider the pairs with being a polynomial defining a quasihomogeneous singularity and being a subgroup of , preserving $…
Tilting sheaves for real groups and Koszul duality
Andrei Ionov, Zhiwei Yun
For a certain class of real analytic varieties with Lie group actions we develop a theory of (free-monodromic) tilting sheaves, and apply it to flag varieties stratified by real gr…
McKay correspondence and orbifold equivalence
Andrei Ionov
We prove that a pair of singularities related by a transformation arising from the McKay correspondence are orbifold equivalent. From this we deduce a new proof of a McKay type equ…
Hochschild cohomology of Fermat type polynomials with non-abelian symmetries
Alexey Basalaev, Andrei Ionov
For a polynomial let be the non--abelian maximal group of symmetries of . This is a group generated by all , r…
Primitive forms for Gepner singularities
Andrei Ionov
We provide a construction of Saito primitive forms for Gepner singularity by studying the relation between Saito primitive forms for Gepner singularities and primitive forms for si…
Kostka-Shoji polynomials and Lusztig's convolution diagram
Michael Finkelberg, Andrei Ionov
We propose an -variable version of Kostka-Shoji polynomials for -multipartitions . Our version has positive integral coefficients and encodes the graded multi…
Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space
Michael Finkelberg, Victor Ginzburg, Andrei Ionov +1
We study the natural Gieseker and Uhlenbeck compactifications of the rational Calogero-Moser phase space. The Gieseker compactification is smooth and provides a small resolution of…