S. Arthamonov

activity

20242026

collaborators

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

math.QA2024

Classical Limit of genus two DAHA

S. Arthamonov

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

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

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