Piotr W. Nowak

collaborators

2 papers

math.AT2026

Cocycles and positive functionals in higher cohomology

Antonio LÃ³pez Neumann, Piotr W. Nowak

We establish and explore the correspondence between positive functionals and cocycles in higher unitary cohomology. We generalize the classical cocycle version of the Gelfand-Naima…

math.GR2024

Spectral gap for the cohomological Laplacian of $SL_{3} (Z)$

Marek Kaluba, Piotr Mizerka, Piotr W. Nowak

We show that the cohomological Laplacian in degree 1 in the group cohomology of $SL_{3} (Z)$ is a sum of hermitian squares in the algebra $\mathbb{M}_n(\mathbb…

Cocycles and positive functionals in higher cohomology

Spectral gap for the cohomological Laplacian of SL3​(Z)

Spectral gap for the cohomological Laplacian of $SL_{3} (Z)$