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 2021-02-01 to 2025-02-01.)

Article	Citations
Relative singularity categories and singular equivalences	13
On the Euler–Poincaré characteristics of a simply connected rationally elliptic CW-complex	9
Modeling bundle-valued forms on the path space with a curved iterated integral	7
Coherent presentations of monoids with a right-noetherian Garside family	4
Rational model for the string coproduct of pure manifolds	3
Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: elliptic curves, Barsotti–Tate groups, and other examples	3
A Matsumoto type theorem for $$GL_n$$ over rings of non-commutative Laurent polynomials	2
The homotopy of the $$KU_G$$-local equivariant sphere spectrum	2
Weak cartesian properties of simplicial sets	2
Higher order Toda brackets	2
On Vietoris–Rips complexes of finite metric spaces with scale 2	2
Homotopy theory of monoids and derived localization	2
The Cantor–Schröder–Bernstein Theorem for $$\infty $$-groupoids	2
Homotopy pro-nilpotent structured ring spectra and topological Quillen localization	2
2-Segal objects and algebras in spans	2
Overcategories and undercategories of cofibrantly generated model categories	1
Modules and representations up to homotopy of Lie n-algebroids	1
Toward a minimal model for $$H_*(\overline{\mathcal {M}})$$	1
On the K(1)-local homotopy of $$\mathrm {tmf}\wedge \mathrm {tmf}$$	1
On the Maurer-Cartan simplicial set of a complete curved $$A_\infty $$-algebra	1
Homotopical perspective on statistical quantities	1
Marked colimits and higher cofinality	1
Multifunctorial K-theory is an equivalence of homotopy theories	1
A reasonable notion of dimension for singular intersection homology	1
Sequential n-connectedness and infinite deformations of n-loops	1

Uniqueness of differential characters and differential K-theory via homological algebra	1
Quasi-categories vs. Segal spaces: Cartesian edition	1
An equivalence of profinite completions	1
$${ \mathsf {TQ} }$$-completion and the Taylor tower of the identity functor	1
Self-closeness numbers of rational mapping spaces	0
On Kähler differentials of divided power algebras	0
Enriched Koszul duality	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
Flat comodules and contramodules as directed colimits, and cotorsion periodicity	0
On graded $${\mathbb {E}}_{\infty }$$-rings and projective schemes in spectral algebraic geometry	0
Rational stabilization and maximal ideal spaces of commutative Banach algebras	0
On Singer’s conjecture for the fourth algebraic transfer in certain generic degrees	0
Transferring algebra structures on complexes	0
Connectedness of graphs arising from the dual Steenrod algebra	0
Correction to: A cochain level proof of Adem relations in the mod 2 Steenrod algebra	0
Prismatic cohomology and p-adic homotopy theory	0
Smashing localizations in equivariant stable homotopy	0
Goodwillie’s cosimplicial model for the space of long knots and its applications	0
On the K-theory of $$\mathbb {Z}$$-categories	0
Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 2	0
On families of nilpotent subgroups and associated coset posets	0
Unitary calculus: model categories and convergence	0
Sheaves via augmentations of Legendrian surfaces	0
Comparison of the colimit and the 2-colimit	0
Periodic self maps and thick ideals in the stable motivic homotopy category over $${\mathbb {C}}$$ at odd primes	0
Local systems in diffeology	0
Resolutions of operads via Koszul (bi)algebras	0
Centralisers, complex reflection groups and actions in the Weyl group $$E_6$$	0
Cohomology and deformations of twisted Rota–Baxter operators and NS-algebras	0
Torsion in the magnitude homology of graphs	0
The completion theorem in twisted equivariant K-theory for proper actions	0
Two-sided cartesian fibrations of synthetic $$(\infty ,1)$$-categories	0
Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1	0
Localization $$C^*-$$algebras and index pairing	0
The homology digraph of a preordered space	0
The equivalence between Feynman transform and Verdier duality	0
Computations of relative topological coHochschild homology	0
Lie 2-groups from loop group extensions	0
The Hurewicz model structure on simplicial R-modules	0
Derived categories of NDG categories	0
The $$\mathbb {Z}/2$$ Fadell–Husseini index of the complex Grassmann manifolds $$G_{n}(\mathbb {C}^{2n})$$	0
LHS-spectral sequences for regular extensions of categories	0
On the mod 2 cohomology algebra of oriented Grassmannians	0
The cohomology of $$C_2$$-surfaces with $${\underline{{\mathbb {Z}}}}$$-coefficients	0
Leibniz algebras with derivations	0
Dg Loday–Pirashvili modules over Lie algebras	0
Multisimplicial chains and configuration spaces	0
On the LS-category and topological complexity of projective product spaces	0
On the RO(Q)-graded coefficients of Eilenberg–MacLane spectra	0

The $$\mathbb {R}$$-local homotopy theory of smooth spaces	0
Lambda module structure on higher K-groups	0
A cochain level proof of Adem relations in the mod 2 Steenrod algebra	0
$$C_2$$-equivariant topological modular forms	0
Diffeological principal bundles and principal infinity bundles	0
The derived Brauer map via twisted sheaves	0
A t-structure on the $$\infty $$-category of mixed graded modules	0
Associative 2-algebras and nonabelian extensions of associative algebras	0
Classification of 2-term $$L_\infty $$-algebras	0
Eilenberg–Maclane spaces and stabilisation in homotopy type theory	0