3 papers
math.QA2026
Compact Quantum Homogeneous Kähler Spaces
Biswarup Das, Réamonn à Buachalla, Petr Somberg
Noncommutative Kähler structures were recently introduced as an algebraic framework for studying noncommutative complex geometry on quantum homogeneous spaces. In this paper, we i…
math.QA2025
Lusztig's Quantum Root Vectors and a Dolbeault Complex for the A-Series Full Quantum Flag Manifolds
Réamonn à Buachalla, Petr Somberg
For the Drinfeld-Jimbo quantum enveloping algebra , we show that the span of Lusztig's positive root vectors, with respect to Littlemann's nice reduced decomp…
math.AT2025
Equivariant operations in topological Hochschild homology
Po Hu, Igor Kriz, Petr Somberg +1
We observe a new equivariant relationship between topological Hochschild homology and cohomology. We also calculate the topological Hochschild homology of the topological Hochschil…