S. Arthamonov

activity

20232026

collaborators

4 papers

math-ph2026

Finite group actions on genus two $S L (2, C)$ -character variety and applications to SCFTs

Semeon Arthamonov, Anton Pribytok

We investigate irreducible components of the fixed point sets of $S L (2, C)$ -character variety of the genus two surface group under orientation preserving actions of the f…

math.RT2025

Cauchy identities for genus 2 Schur polynomials

S. Arthamonov, Sh. Shakirov, W. Yan

Genus 2 Macdonald polynomials $Ψ_{j_{1}, j_{2}, j_{3}}^{(q, t)}$ generalize ordinary Macdonald polynomials in several aspects. First, they provide common eigenfunctions for commuting differ…

math.QA2023

Classical Limit of genus two DAHA

S. Arthamonov

We show that one-parameter deformation $A_{q, t}$ of the skein algebra $S k_{q} (Σ_{2})$ of a genus two surface suggested in [AS19] is flat. We solve the word problem in the alge…

math.QA2023

An Elliptic Generalization of $A_{1}$ Spherical DAHA at $K = 2$

S. Arthamonov, Sh. Shakirov

We construct an algebra that is an elliptic generalization of $A_{1}$ spherical DAHA acting on its finite-dimensional module at $t = - q^{- K /2}$ with $K = 2$ . We prove that $PSL(2,\mathbb…

Finite group actions on genus two SL(2,C)-character variety and applications to SCFTs

Cauchy identities for genus 2 Schur polynomials

Classical Limit of genus two DAHA

An Elliptic Generalization of A1​ Spherical DAHA at K=2

Finite group actions on genus two $S L (2, C)$ -character variety and applications to SCFTs

An Elliptic Generalization of $A_{1}$ Spherical DAHA at $K = 2$