3 papers
math.RA2025
Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories
Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang
For an associative algebra , the famous theorem of Loday, Quillen and Tsygan says that there is an isomorphism between the graded symmetric product of the cyclic homology of …
math.AG2025
On the coordinate rings of Calogero-Moser spaces and the invariant commuting variety of a pair of matrices
Farkhod Eshmatov, Xabier GarcÃa-MartÃnez, Zafar Normatov +1
This paper presents a comprehensive description of the coordinate rings and Poisson brackets associated with the fourth Calogero-Moser space and invariant commuting pairs of matric…
math.RA2024
Noncommutative Poisson structure and invariants of matrices
Farkhod Eshmatov, Xabier GarcÃa-MartÃnez, Rustam Turdibaev
We introduce a novel approach that employs techniques from noncommutative Poisson geometry to comprehend the algebra of invariants of two matrices. We entirely solve th…