3 papers
math.OA2026
The Noncommutative Foliation Invariant (NCFI): extension to the odd codimension case and computed examples
Ioannis P. Zois
This article extends the definition of the Noncommutative Foliation Invariant (NCFI) for foliations of odd codimension and computes certain key examples for both even and odd codim…
math.DG2026
Cyclic source pairings for Penrose--Sparling non-Hausdorff twistor spaces
Ioannis P. Zois
We introduce noncommutative geometry techniques in order to reinterpret the Penrose--Sparling non-Hausdorff twistor space of the anti-self-dual Coulomb field by means of an explici…
math-ph2026
A Boundary--Residue Incidence Coalgebra for Associahedral Scattering Forms
Ioannis P. Zois
We introduce a boundary--residue incidence coalgebra associated with the face poset of a positive geometry and apply it to associahedral scattering forms. The construction is motiv…