33 citations · 52 across the 23 of their papers we have counts for
23 papers
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…
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…
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…
Towards Noncommutative Topological Quantum Field Theory: New invariants for 3-manifolds
Ioannis P. Zois
We define some new invariants for 3-manifolds using the space of taut codim-1 foliations along with various techniques from noncommutative geometry. These invariants originate from…
Towards Noncommutative Topological Quantum Field Theory: Tangential Hodge-Witten cohomology
Ioannis P. Zois
We present a method to develop a Hodge theory for tangential cohomology of foliations by mimicing Witten's approach to ordinary Morse theory by perturbations of the Laplacian
Noncommutative Topological Quantum Field Theory, Noncommutative Floer Homology, Noncommutative Hodge Theory
Ioannis P. Zois
We present some ideas for a possible Noncommutative Topological Quantum Field Theory (NCTQFT) and Noncommutative Floer Homology (NCFH). Our motivation is two-fold and it comes both…