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 2022-01-01 to 2026-01-01.)

Article	Citations
Homotopy pro-nilpotent structured ring spectra and topological Quillen localization	12
Bigraded Poincaré polynomials and the equivariant cohomology of Rep$$(C_2)$$-complexes	6
Normed symmetric monoidal categories	5
A Matsumoto type theorem for $$GL_n$$ over rings of non-commutative Laurent polynomials	5
An equivalence of profinite completions	4
Sequential n-connectedness and infinite deformations of n-loops	4
Enriched Koszul duality	3
Diffeological principal bundles and principal infinity bundles	3
A conceptual derivation of the dual Steenrod algebra	3
Associative 2-algebras and nonabelian extensions of associative algebras	3
Local systems in diffeology	2
Centralisers, complex reflection groups and actions in the Weyl group $$E_6$$	2
The derived Brauer map via twisted sheaves	2
On families of nilpotent subgroups and associated coset posets	2
Goodwillie’s cosimplicial model for the space of long knots and its applications	2
On the topology of $$\mathcal {M}_{0,n+1}/\Sigma _n$$	1
A t-structure on the $$\infty $$-category of mixed graded modules	1
The Hurewicz model structure on simplicial R-modules	1
Periodic self maps and thick ideals in the stable motivic homotopy category over $${\mathbb {C}}$$ at odd primes	1
Resolutions of operads via Koszul (bi)algebras	1
Shellability of 3-cut complexes of squared cycle graphs	1
A reasonable notion of dimension for singular intersection homology	1
Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1	1
Connectedness of graphs arising from the dual Steenrod algebra	1
Concerning monoid structures on naive homotopy classes of endomorphisms of punctured affine space	1

Flat comodules and contramodules as directed colimits, and cotorsion periodicity	1
Coherent presentations of monoids with a right-noetherian Garside family	1
Classification of 2-term $$L_\infty $$-algebras	1
A conjecture on the composition of localizations on a stratified tensor triangulated category	1
On two quotients of $$S^2\times S^2$$	1
Eilenberg–Maclane spaces and stabilisation in homotopy type theory	1
Unitary calculus: model categories and convergence	1
Transferring algebra structures on complexes	0
Weak cartesian properties of simplicial sets	0
Classification of homogeneous functors in manifold calculus	0
The connective KO-theory of the Eilenberg–MacLane space $$K({\mathbb Z}_2,2)$$, I: the $$E_2$$ page	0
Rational stabilization and maximal ideal spaces of commutative Banach algebras	0
Constructing Reedy fibrant replacements of projective fibrant simplicial presheaves	0
Two-sided cartesian fibrations of synthetic $$(\infty ,1)$$-categories	0
On split steinberg modules and steinberg modules	0
Cohomology at infinity and the well-tempered complex	0
On graded $${\mathbb {E}}_{\infty }$$-rings and projective schemes in spectral algebraic geometry	0
Hodge decompositions and differential Poincaré duality models	0
Localisations and completions of nilpotent G-spaces	0
A localization theorem for cyclic equivariant K-theory	0
Computations of relative topological coHochschild homology	0
Toward a minimal model for $$H_*(\overline{\mathcal {M}})$$	0
Multifunctorial K-theory is an equivalence of homotopy theories	0
The homotopy of the $$KU_G$$-local equivariant sphere spectrum	0
On analytic exponential functors on free groups	0
Lambda module structure on higher K-groups	0
Comparison of the colimit and the 2-colimit	0
On Kähler differentials of divided power algebras	0
A contramodule generalization of Neeman’s flat and projective module theorem	0
Modeling bundle-valued forms on the path space with a curved iterated integral	0
Smashing localizations in equivariant stable homotopy	0
On the Euler–Poincaré characteristics of a simply connected rationally elliptic CW-complex	0
Self-closeness numbers of rational mapping spaces	0
Cosimplicial structure on pointed multiplicative operads	0
Cohomology and deformations of twisted Rota–Baxter operators and NS-algebras	0
On duoidal $$\infty $$-categories	0
The homology digraph of a preordered space	0
On Singer’s conjecture for the fourth algebraic transfer in certain generic degrees	0
The $$\mathbb {R}$$-local homotopy theory of smooth spaces	0
Modules and representations up to homotopy of Lie n-algebroids	0
Multisimplicial chains and configuration spaces	0
Morava K-theory rings for finite groups	0
The completion theorem in twisted equivariant K-theory for proper actions	0
On the homotopy type of partial quotients of certain moment-angle complexes	0
Adams operations on the twisted K-theory of compact Lie groups	0
On Lusternik–Schnirelmann category and topological complexity of non-k-equal manifolds	0
Revisiting the Nandakumar–Ramana Rao conjecture	0
Prismatic cohomology and p-adic homotopy theory	0
Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 2	0
Realization of saturated transfer systems on cyclic groups of order $$p^nq^m$$ by linear isometries $$N_\infty $$-operads	0

The stable Picard group of $$\mathcal {A}(n)$$	0
On Vietoris–Rips complexes of finite metric spaces with scale 2	0
Correction to: A cochain level proof of Adem relations in the mod 2 Steenrod algebra	0
Endomorphisms of equivariant algebraic K-theory	0
Dg Loday–Pirashvili modules over Lie algebras	0
On the RO(Q)-graded coefficients of Eilenberg–MacLane spectra	0
Higher (equivariant) topological complexity of Milnor manifolds	0
On the K-theory of $$\mathbb {Z}$$-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
Explicit sharbly cycles at the virtual cohomological dimension for $$\textrm{SL}_n(\mathbb {Z})$$	0
On the real cycle class map for singular varieties	0
The equivariant covering homotopy property	0
Lie 2-groups from loop group extensions	0
$${ \mathsf {TQ} }$$-completion and the Taylor tower of the identity functor	0
The cohomology of $$C_2$$-surfaces with $${\underline{{\mathbb {Z}}}}$$-coefficients	0
$$C_2$$-equivariant topological modular forms	0
On the mod 2 cohomology algebra of oriented Grassmannians	0
LHS-spectral sequences for regular extensions of categories	0