Igor Sikora
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View article: Equivariant simplicial distributions and quantum contextuality
Equivariant simplicial distributions and quantum contextuality Open
We introduce an equivariant version of contextuality with respect to a symmetry group, which comes with natural applications to quantum theory. In the equivariant setting, we construct cohomology classes that can detect contextuality. This…
View article: On the structure of the $RO(G)$-graded homotopy of $H\underline{M}$ for cyclic $p$-groups
On the structure of the $RO(G)$-graded homotopy of $H\underline{M}$ for cyclic $p$-groups Open
We study the structure of the $RO(G)$-graded homotopy Mackey functors of any Eilenberg-MacLane spectrum $H\underline{M}$ for $G$ a cyclic $p$-group. When $\underline{R}$ is a Green functor, we define orientation classes $u_V$ for $H\underl…
View article: Simplicial techniques for operator solutions of linear constraint systems
Simplicial techniques for operator solutions of linear constraint systems Open
A linear constraint system is specified by linear equations over the group Zd of integers modulo d. Their operator solutions play an important role in the study of quantum contextuality and non-local games. In this paper, we use the theory…
View article: Simplicial techniques for operator solutions of linear constraint systems
Simplicial techniques for operator solutions of linear constraint systems Open
A linear constraint system is specified by linear equations over the group $\ZZ_d$ of integers modulo $d$. Their operator solutions play an important role in the study of quantum contextuality and non-local games. In this paper, we use the…
View article: On the RO(Q)-graded coefficients of Eilenberg–MacLane spectra
On the RO(Q)-graded coefficients of Eilenberg–MacLane spectra Open
Let Q denote the cyclic group of order two. Using the Tate diagram we compute the RO ( Q )-graded coefficients of Eilenberg–MacLane Q -spectra and describe their structure as modules over the coefficients of the Eilenberg–MacLane spectrum …
View article: On the $RO(Q)$-graded coefficients of Eilenberg-MacLane spectra
On the $RO(Q)$-graded coefficients of Eilenberg-MacLane spectra Open
Let $Q$ denote the cyclic group of order two. Using the Tate diagram we compute the $RO(Q)$-graded coefficients of Eilenberg-MacLane $Q$-spectra and describe their structure as a module over the coefficients of the Eilenberg-MacLane spectr…