Zobrazeno 1 - 10
of 199
pro vyhledávání: '"SOMBERG, PETR"'
In the present paper, we construct a $\mathbb{Z}/p$-equivariant analog of the $\mathbb{Z}/2$-equivariant spectrum $BP\mathbb{R}$ previously constructed by Hu and Kriz. We prove that this spectrum has some of the properties conjectured by Hill, Hopkin
Externí odkaz:
http://arxiv.org/abs/2407.16599
Autor:
Pandžić, Pavle, Somberg, Petr
Motivated by our attempts to construct an analogue of the Dirac operator in the setting of $U_q(\mathfrak{sl}_n)$, we write down explicitly the braided coproduct, antipode, and adjoint action for quantum algebra $U_q(\mathfrak{sl}_2)$. The braided ad
Externí odkaz:
http://arxiv.org/abs/2404.06871
Autor:
Buachalla, Réamonn Ó, Somberg, Petr
For the Drinfeld-Jimbo quantum enveloping algebra $U_q(\frak{sl}_{n+1})$, we show that the span of Lusztig's positive root vectors, with respect to Littlemann's nice reduced decompositions of the longest element of the Weyl group, form quantum tangen
Externí odkaz:
http://arxiv.org/abs/2312.13493
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 polynomial algebras over $\mathbb{F}_p$.
Comment: accepted for publi
Comment: accepted for publi
Externí odkaz:
http://arxiv.org/abs/2211.12381
We show that tensoring the Laplace and Dolbeault-Dirac operators of a K\"ahler structure (with closed integral) by a negative Hermitian holomorphic module, produces operators with spectral gaps around zero. The proof is based on the recently establis
Externí odkaz:
http://arxiv.org/abs/2206.10719
We completely calculate the $RO(\mathbb{Z}/p)$-graded coefficients $H\underline{\mathbb{Z}/p}_\star H\underline{\mathbb{Z}/p}$ for the constant Mackey functor $\underline{\mathbb{Z}/p}$.
Comment: Some corrections made and explanations added
Comment: Some corrections made and explanations added
Externí odkaz:
http://arxiv.org/abs/2205.13427
We explicitly construct and investigate a number of examples of $\mathbb{Z}/p^r$-equivariant formal group laws and complex-oriented spectra, including those coming from elliptic curves and $p$-divisible groups, as well as some other related examples.
Externí odkaz:
http://arxiv.org/abs/2109.00032
Publikováno v:
Letters in Mathematical Physics, 111, (2021)
We construct covariant $q$-deformed holomorphic structures for all finitely-generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenberger--Kolb calculi. In the classical limit these reduce to modules of s
Externí odkaz:
http://arxiv.org/abs/2005.09652
Autor:
Somberg, Petr, Zima, Petr
We study invariant systems of PDEs defining Killing vector-valued forms, and then we specialize to Killing spinor-valued forms. We give a detailed treatment of their prolongation and integrability conditions by relating the point-wise values of solut
Externí odkaz:
http://arxiv.org/abs/2003.12431
Publikováno v:
Lett. Math. Phys. 112 (2022), no. 6, 33
Noncommutative K\"ahler structures were recently introduced by the second author as a framework for studying noncommutative K\"ahler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a positive vector bundle dire
Externí odkaz:
http://arxiv.org/abs/1912.08802