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pro vyhledávání: '"KRIZ, IGOR"'
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
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 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
In this paper, we calculate the coefficient ring of equivariant Thom complex cobordism for the symmetric group on three elements. We also make some remarks on general methods of calculating certain pullbacks of rings which typically occur in calculat
Externí odkaz:
http://arxiv.org/abs/2109.00991
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
Autor:
Kriz, Igor, Lu, Yunze
We completely calculate the $RO(G)$-graded coefficients of ordinary equivariant cohomology where $G$ is the dihedral group of order $2p$ for a prime $p>2$ both with constant and Burnside ring coefficients. The authors first proved it for $p=3$ and th
Externí odkaz:
http://arxiv.org/abs/2005.01225
Autor:
Holler, John, Kriz, Igor
This note contains a generalization to $p>2$ of the authors' previous calculations of the coefficients of $(\mathbb{Z}/2)^n$-equivariant ordinary cohomology with coefficients in the constant $\mathbb{Z}/2$-Mackey functor. The algberaic results by S.K
Externí odkaz:
http://arxiv.org/abs/2002.05284
Autor:
Kriz, Igor, Li, Guchuan
Publikováno v:
In Topology and its Applications 1 October 2023 338
Publikováno v:
In Advances in Mathematics 1 January 2023 412
Tate cohomology (as well as Borel homology and cohomology) of connective K-theory for $G=(\mathbb{Z}/2)^n$ was completely calculated by Bruner and Greenlees. In this note, we essentially redo the calculation by a different, more elementary method, an
Externí odkaz:
http://arxiv.org/abs/1812.01654