3 papers
math.KT2026
Algebraic -theory, cohomotopy -groups, and Koszul duality
Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang
Let be an augmented differential graded algebra over a field of characteristic zero, and let be its Koszul dual algebra. Blumberg and Ma…
math.RA2026
Biquantization of the necklace Lie bialgebra
Xiaojun Chen, Maozhou Huang, Meiliang Liu +1
For the double of a quiver, the works of Ginzburg, Bocklandt-Le Bruyn and Schedler show that its closed paths, called the necklaces, have a natural Lie bialgebra structure. Schedle…
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 …