D. Klyuev

activity

20182026

most citedTwisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A

4 citations · 8 across the 12 of their papers we have counts for

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9 papers · 1 filter

math.RT2026

Residue construction of quantized Coulomb branches

Daniil Klyuev

We describe the image of a quantized BFN Coulomb branch $A_{G, N}^{ℏ = 1}$ under localization (abelianization) map for any $G, N$ . In most cases, such as quiver gauge the…

math.RT2025

Positive traces on quantized abelian Coulomb branches

Daniil Klyuev

Let $A = A_{G, N}^{ℏ = 1}$ be a quantized Coulomb branch with an antilinear automorphism $ρ$ . A map $T : A \to C$ is called a positive trace if $T (a ρ (a)) > 0$ for all nonze…

math.RT2024

A different approach to positive traces on generalized q-Weyl algebras

Daniil Klyuev

Positive twisted traces are mathematical objects that could be useful in computing certain parameters of superconformal field theories. The case when $A$ is a $q$ -Weyl al…

math.RT2023

Analytic Langlands correspondence for $PGL_{2} (C)$ on a genus one curve with parabolic structures

Daniil Klyuev

Analytic Langlands correspondence was proposed by Etingof, Frenkel and Kazhdan. On one side of this correspondence there are certain operators on $L^{2} (Bun_{G})$ , calle…

math.RT2023

Unitarizability of Harish-Chandra bimodules over generalized Weyl and $q$ -Weyl algebras

Daniil Klyuev

Let $A$ be a quantized ( $K$ -theoretic) BFN Coulomb branch with $G = C^{*}$ and any $N$ , that is, $A$ is a generalized Weyl or $q$ -Weyl algebra. Let $M$ be…

math.RT2022

Multiplication Kernels for the Analytic Langlands Program in Genus Zero

Daniil Klyuev, Sanjay Raman

We provide an explicit proof of a recent result of Gaiotto arXiv:2110.02255 which gives an explicit formula for a so-called "multiplication kernel'' $K_{3} (x, y, z; t)$ intertwining…

math.RT2021★ 2 cited

Twisted Traces and Positive Forms on Generalized $q$ -Weyl Algebras

Daniil Klyuev

Let $A$ be a generalized $q$ -Weyl algebra, it is generated by $u$ , $v$ , $Z$ , $Z^{- 1}$ with relations $Z u Z^{- 1} = q^{2} u$ , $Z v Z^{- 1} = q^{- 2} v$ , $uv = P (q^{- 1} Z)$ , $vu=P(…

math.RT2020★ 2 cited

On unitarizable Harish-Chandra bimodules for deformations of Kleinian singularities

Daniil Klyuev

The notion of a Harish-Chandra bimodule, i.e. finitely generated $U (g)$ -bimodule with locally finite adjoint action, was generalized to any filtered algebra in a work of…

math.RT2018

Deformations of pairs of Kleinian singularities

Daniil Klyuev

Kleinian singularities, i.e., the varieties corresponding to the algebras of invariants of Kleinian groups are of fundamental importance for Algebraic geometry, Representation theo…

Residue construction of quantized Coulomb branches

Positive traces on quantized abelian Coulomb branches

A different approach to positive traces on generalized q-Weyl algebras

Analytic Langlands correspondence for PGL2​(C) on a genus one curve with parabolic structures

Unitarizability of Harish-Chandra bimodules over generalized Weyl and q-Weyl algebras

Multiplication Kernels for the Analytic Langlands Program in Genus Zero

Twisted Traces and Positive Forms on Generalized q-Weyl Algebras

On unitarizable Harish-Chandra bimodules for deformations of Kleinian singularities

Deformations of pairs of Kleinian singularities

Analytic Langlands correspondence for $PGL_{2} (C)$ on a genus one curve with parabolic structures

Unitarizability of Harish-Chandra bimodules over generalized Weyl and $q$ -Weyl algebras

Twisted Traces and Positive Forms on Generalized $q$ -Weyl Algebras