OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Noncommutative Geometry is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)

Article	Citations
Cosimplicial monoids and deformation theory of tensor categories	22
Corrigendum to “Derived equivalences constructed by Milnor patching”	8
Deformation spaces, rescaled bundles, and the generalized Kirillov formula	8
Geometric K-homology and the Freed–Hopkins–Teleman theorem	6
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace	6
Tracing projective modules over noncommutative orbifolds	6
Symmetrized non-commutative tori revisited	6
An equivariant Poincaré duality for proper cocompact actions by matrix groups	6
A short proof of an index theorem, II	5
Explicit Rieffel induction module for quantum groups	5
Chern classes of quantizable coisotropic bundles	5
Spectral triples for noncommutative solenoids and a Wiener’s lemma	5
Deformations of modified $r$-matrices and cohomologies of related algebraic structures	5
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings	5
Exel–Pardo algebras with a twist	5
Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation	5
Perturbations of principal submodules in the Drury–Arveson space	4
Non-commutative ambits and equivariant compactifications	4
Nonnoetherian singularities and their noncommutative blowups	4
A cocyclic construction of $S^1$-equivariant homology and application to string topology	4
Irreducible representations of the crystallization of the quantized function algebras $C(\operatorname{SU}_{q}(n+1))$	4
Homomorphisms into simple $\mathcal{Z}$-stable $C^*$-algebras, II	4
A remark on the Hochschild dimension of liberated quantum groups	3
Covering-monopole map and higher degree in non-commutative geometry	3
On a definition of logarithm of quaternionic functions	3

The strong homotopy structure of Poisson reduction	3
Controlled $K$-theory and $K$-homology	3
On isometries of spectral triples associated to $\mathrm{AF}$-algebras and crossed products	3
Distortion in graphs of groups and rapid decay classification of $3$-manifold groups	3
The Artin component and simultaneous resolution via reconstruction algebras of type $A$	3
Pontrjagin duality on multiplicative gerbes	3
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type	3
A short proof of the localization formula for the loop space Chern character of spin manifolds	3
Generalizing Pauli spin matrices using cubic lattices	3
Hopf–Galois structures on ambiskew polynomial rings	3
Hochschild homology of reductive $p$-adic groups	3
HPD-invariance of the Tate conjecture(s)	2
A cogroupoid associated to preregular forms	2
Serre’s theorem for coherent sheaves via Auslander’s techniques	2
On some (co)homological invariants of coherent matrix factorizations	2
On singular foliations tangent to a given hypersurface	2
On the $C^{*}$-algebra associated with the full adele ring of a number field	2
The centrally extended Heisenberg double of quantum $\mathrm{SL}_{2}$	2
Enlargeable foliations and the monodromy groupoid	2
Deformation of algebras associated with group cocycles	2
Symmetry Reduction of States I	2
Aspects of noncommutative geometry of Bunce–Deddens algebras	2
Nowhere scattered $C^*$-algebras	2
Relative Poisson bialgebras and Frobenius Jacobi algebras	2
Twisted tensor products of field algebras	2
Mixed $q$-deformed Araki–Woods von Neumann algebras	2
The relative Mishchenko–Fomenko higher index and almost flat bundles II: Almost flat index pairing	2
Smooth Calabi–Yau structures and the noncommutative Legendre transform	2
Multiparameter quantum groups at roots of unity	2
Veronese subalgebras and Veronese morphisms for a class of Yang–Baxter algebras	2
Calabi–Yau structures for multiplicative preprojective algebras	2
Quantum Euclidean spaces with noncommutative derivatives	2
From length-preserving pushouts of graphs to one-surjective pullbacks of graph algebras	2
Quantum geometry of Boolean algebras and de Morgan duality	2
Polarization and deformations of generalized dendriform algebras	2
A proof of a conjecture of Shklyarov	2
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra	2