3 papers
cond-mat.mes-hall2026
Unveiling Topological Fusion in Quantum Hall Systems from Microscopic Principles
Arkadiusz Bochniak, Shinsei Ryu, Jürgen Fuchs +1
Establishing the fusion rules of anyonic quasiparticles in fractional quantum Hall fluids is essential for understanding their underlying topological order. Building on the conject…
math-ph2026
On Geometric Spectral Functionals
Arkadiusz Bochniak, Ludwik DÄ browski, Andrzej Sitarz +1
We investigate spectral functionals associated with Dirac and Laplace-type differential operators on manifolds, defined via the Wodzicki residue, extending classical results for Di…
gr-qc2025
An impediment to torsion from spectral geometry
Arkadiusz Bochniak, Ludwik DÄ browski, Andrzej Sitarz +1
Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in phys…