26 citations · 148 across the 44 of their papers we have counts for
56 papers
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…
The -equivariant spectrum for an odd prime
Po Hu, Igor Kriz, Petr Somberg +1
In the present paper, we construct a -equivariant analog of the -equivariant spectrum previously constructed by Hu and Kriz. We prove tha…
Braided coproduct, antipode and adjoint action for
Pavle Pandžić, Petr Somberg
Motivated by our attempts to construct an analogue of the Dirac operator in the setting of , we write down explicitly the braided coproduct, antipode, and adj…
Lusztig's Quantum Root Vectors and a Dolbeault Complex for the A-Series Full Quantum Flag Manifolds
Réamonn Ó 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…
On the equivariant motivic filtration of the topological Hochschild homology of polynomial algebras
Po Hu, Igor Kriz, Petr Somberg
We identify the equivariant structure of the filtered pieces of the motivic filtration defined by Bhatt, Morrow and Scholze on the topological Hochschild cohomology spectrum of pol…
Spectral gaps for twisted Dolbeault-Dirac operators over the irreducible quantum flag manifolds
Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
We show that tensoring the Laplace and Dolbeault-Dirac operators of a Kähler structure (with closed integral) by a negative Hermitian holomorphic module, produces operators with sp…