OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Homotopy and Related Structures is 0. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Bigraded Poincaré polynomials and the equivariant cohomology of Rep$$(C_2)$$-complexes	13
A Matsumoto type theorem for $$GL_n$$ over rings of non-commutative Laurent polynomials	6
Normed symmetric monoidal categories	5
Sequential n-connectedness and infinite deformations of n-loops	5
Homotopy pro-nilpotent structured ring spectra and topological Quillen localization	5
A conceptual derivation of the dual Steenrod algebra	4
An equivalence of profinite completions	4
Associative 2-algebras and nonabelian extensions of associative algebras	4
Diffeological principal bundles and principal infinity bundles	4
Centralisers, complex reflection groups and actions in the Weyl group $$E_6$$	3
Enriched Koszul duality	3
On families of nilpotent subgroups and associated coset posets	2
Goodwillie’s cosimplicial model for the space of long knots and its applications	2
The derived Brauer map via twisted sheaves	2
Local systems in diffeology	2
Relative cohomological dimension of a relatively hyperbolic pair	2
Concerning monoid structures on naive homotopy classes of endomorphisms of punctured affine space	1
Eilenberg–Maclane spaces and stabilisation in homotopy type theory	1
A contramodule generalization of Neeman’s flat and projective module theorem	1
Rigid models for 2-gerbes I: Chern–Simons geometry	1
The Hurewicz model structure on simplicial R-modules	1
Coherent presentations of monoids with a right-noetherian Garside family	1
Periodic self maps and thick ideals in the stable motivic homotopy category over $${\mathbb {C}}$$ at odd primes	1
The stability of persistent homology of hypergraphs	1
On two quotients of $$S^2\times S^2$$	1

The stable Picard group of $$\mathcal {A}(n)$$	1
Flat comodules and contramodules as directed colimits, and cotorsion periodicity	1
Shellability of 3-cut complexes of squared cycle graphs	1
Classification of 2-term $$L_\infty $$-algebras	1
A t-structure on the $$\infty $$-category of mixed graded modules	1
A conjecture on the composition of localizations on a stratified tensor triangulated category	1
Unitary calculus: model categories and convergence	1
Classification of homogeneous functors in manifold calculus	1
Transferring algebra structures on complexes	1
On the topology of $$\mathcal {M}_{0,n+1}/\Sigma _n$$	1
Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1	1
A reasonable notion of dimension for singular intersection homology	1
On the RO(Q)-graded coefficients of Eilenberg–MacLane spectra	0
On duoidal $$\infty $$-categories	0
Localization $$C^*-$$algebras and index pairing	0
The $$\mathbb {Z}/2$$ Fadell–Husseini index of the complex Grassmann manifolds $$G_{n}(\mathbb {C}^{2n})$$	0
Multisimplicial chains and configuration spaces	0
The equivariant covering homotopy property	0
Realization of saturated transfer systems on cyclic groups of order $$p^nq^m$$ by linear isometries $$N_\infty $$-operads	0
Lie 2-groups from loop group extensions	0
Prismatic cohomology and p-adic homotopy theory	0
Commutative classifying space for simplicial groups	0
The connective KO-theory of the Eilenberg–MacLane space $$K({\mathbb Z}_2,2)$$, I: the $$E_2$$ page	0
On analytic exponential functors on free groups	0
On Vietoris–Rips complexes of finite metric spaces with scale 2	0
Poincaré dualization and Massey products	0
Unstable arithmetic fracture squares in $$\infty $$-topoi	0
Modeling bundle-valued forms on the path space with a curved iterated integral	0
Multifunctorial K-theory is an equivalence of homotopy theories	0
Cohomology at infinity and the well-tempered complex	0
Hodge decompositions and differential Poincaré duality models	0
Cohomology and deformations of twisted Rota–Baxter operators and NS-algebras	0
Modules and representations up to homotopy of Lie n-algebroids	0
On split steinberg modules and steinberg modules	0
Higher (equivariant) topological complexity of Milnor manifolds	0
Rational stabilization and maximal ideal spaces of commutative Banach algebras	0
A context for manifold calculus	0
Toward a minimal model for $$H_*(\overline{\mathcal {M}})$$	0
The homology digraph of a preordered space	0
Lambda module structure on higher K-groups	0
The low dimensional homology groups of the elementary group of degree two	0
On Kähler differentials of divided power algebras	0
Adams operations on the twisted K-theory of compact Lie groups	0
LHS-spectral sequences for regular extensions of categories	0
On the mod 2 cohomology algebra of oriented Grassmannians	0
Weak cartesian properties of simplicial sets	0
Comparison of the colimit and the 2-colimit	0
Smashing localizations in equivariant stable homotopy	0
Computations of relative topological coHochschild homology	0
Constructing Reedy fibrant replacements of projective fibrant simplicial presheaves	0

Cosimplicial structure on pointed multiplicative operads	0
$$\textrm{THH}$$ of the Morava E-theory spectrum $$E_2$$	0
Two-sided cartesian fibrations of synthetic $$(\infty ,1)$$-categories	0
Explicit sharbly cycles at the virtual cohomological dimension for $$\textrm{SL}_n(\mathbb {Z})$$	0
The $$\mathbb {R}$$-local homotopy theory of smooth spaces	0
On Singer’s conjecture for the fourth algebraic transfer in certain generic degrees	0
Localisations and completions of nilpotent G-spaces	0
Graphs arising from the dual Steenrod algebra	0
A localization theorem for cyclic equivariant K-theory	0
On the real cycle class map for singular varieties	0
Morava K-theory rings for finite groups	0
Configuration spaces of circles in the plane	0
Self-closeness numbers of rational mapping spaces	0
The cohomology of $$C_2$$-surfaces with $${\underline{{\mathbb {Z}}}}$$-coefficients	0
The homotopy of the $$KU_G$$-local equivariant sphere spectrum	0
Revisiting the Nandakumar–Ramana Rao conjecture	0
Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 2	0
On the homotopy type of partial quotients of certain moment-angle complexes	0
Correction to: A cochain level proof of Adem relations in the mod 2 Steenrod algebra	0
Endomorphisms of equivariant algebraic K-theory	0
On the K-theory of $$\mathbb {Z}$$-categories	0
Dg Loday–Pirashvili modules over Lie algebras	0
On $$\textrm{K}_1$$-stability of the relative DSER elementary orthogonal group	0