OOIR: Observatory of International Research

Papers

(The median citation count of Homology Homotopy and Applications 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 2022-06-01 to 2026-06-01.)

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	9
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	4
A(nother) model for the framed little disks operad	4
Higher categories of push-pull spans, II: Matrix factorizations	3
Exploring homological properties of independence complexes of Kneser graphs	3
Two theorems on cohomological pairings	3
Minimal projective resolution and magnitude homology of geodetic metric spaces	3
Locally dualizable modules abound	2
On invertible $2$-dimensional framed and $r$-spin topological field theories	2
Hidden structures behind ambient symmetries of the Maurer-Cartan equation	2
Homotopy theory of spectral sequences	2
Cyclic $A_\infty$-algebras and cyclic homology	2
Constructing coproducts in locally Cartesian closed $\infty$-categories	2
Section complexes of simplicial height functions	2
On a sequence of Grothendieck groups	2
Cobordism obstructions to complex sections II: torsion obstructions	2
The category of Silva spaces is not integral	1
On the topological $K$-theory of twisted equivariant perfect complexes	1
Gottlieb groups of the wedge of some Moore spaces	1
Simplicial $*$-modules and mild actions	1
A homotopy orbit spectrum for profinite groups	1
The homotopy-invariance of constructible sheaves	1
Diagrammatic sets as a model of homotopy types	1
Monotone cohomologies and oriented matchings	1
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1

Comparing diagonals on the associahedra	1
Elmendorf's theorem for diagrams	1
Stable maps from closed surfaces to the 2-sphere	1
Lifespan functors and natural dualities in persistent homology	1
A degree formula for equivariant cohomology rings	1
Uniqueness of monoidal adjunctions	1
Action of automorphisms of pure braid groups on homotopy groups of two-sphere	1
On the additivity of the little cubes operads	1
Čech complexes of hypercube graphs	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
Limits via relations	1
Cohomology and $K$-theory rings of the space of commuting elements in <span class="cf0">$S U(2)$</span> <!--StartFragment --><!--EndFragment -->	1
$K$-theory of real Grassmann manifolds	1
On the cyclic homology of certain universal differential graded algebras	1
Cobordism obstructions to complex sections	1
Rational circle-equivariant elliptic cohomology of CP(V)	1
The stable embedding tower and operadic structures on configuration spaces	1
The homotopy class of twisted $L_\infty$-morphisms	1
E-infinity structure in hyperoctahedral homology	0
On Postnikov completeness for replete topoi	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
A note on Suslin matrices and Clifford algebras	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
On finite domination and Poincaré duality	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
The algebraic stability for persistent Laplacians	0
Derived universal Massey products	0
Standard conjecture D for local stacky matrix factorizations	0
The valuative section conjecture, étale homotopy, and Berkovich spaces	0
Intertwining category and complexity	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
Dyer–Lashof operations as extensions of Brown–Gitler modules	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
Magnitude, homology, and the Whitney twist	0
Thom's counterexamples for the Steenrod problem	0
On the log motivic stable homotopy groups	0
Coformality around fibrations and cofibrations	0
Koszul duality in higher topoi	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Clique complexes of multigraphs, edge inflations, and tournaplexes	0
LS-category and topological complexity of several families of fibre bundles	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
The fundamental group of Galois covers of surfaces with octahedral envelope	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Self-closeness numbers of product spaces	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
The Euler characteristic of finite categories	0
A distributive lattice of model structures relating to spectral sequences	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Cohomology of spaces of Hopf equivariant maps of spheres	0

Abrams' stabilization theorem for no-$k$-equal configuration spaces on graphs	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
Haefliger’s approach for spherical knots modulo immersions	0
The magnitude homology of a hypergraph	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Self-closeness numbers of non-simply-connected spaces	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
On strict polynomial functors with bounded domain	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
Compact Lie groups and complex reductive groups	0
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
Homology operations for gravity algebras	0
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	0
Homotopy characters as a homotopy limit	0
Unstable algebras over an operad II	0
Multicategories model all connective spectra	0
Mapping class groups of manifolds with boundary are of finite type	0
Fiber integration of gerbes and Deligne line bundles	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
$\infty$-categorical universal properties of quotients and localizations of $A_{\infty}$-categories	0
On the cokernel of the Thom morphism for compact Lie groups	0
On the dimension of Harer's spine for the decorated Teichmüller space	0
A category to classify compact Hausdorff spaces and finite spaces	0
Independence complexes of $(n \times 6)$-grid graphs	0
Zig-zag modules: cosheaves and $k$-theory	0
$H \mathbb{F}_2$-synthetic homotopy groups of topological modular forms	0
Homotopy type of the independence complex of some categorical products of graphs	0
On the structure of equivariant formal group laws	0
Extensions in Jacobian algebras via  punctured skein relations	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Classifying space via homotopy coherent nerve	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
The cohomology of the nilCoxeter algebra	0
On torsion in eulerian magnitude homology of Erdös-Rényi random graphs	0
Limit theorems for critical faces above the vanishing threshold	0
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Weight 11 compactly supported cohomology of moduli spaces of curves in excess four	0
On the coformality of classifying spaces for fibrewise self-equivalences	0
Configuration spaces of clusters as $E_d$-algebras	0
On certain homological invariants for weakly coherent rings	0
Oda’s extension problem in the 33-stem homotopy group of the 6-sphere	0
An effective proof of the Cartan formula: odd primes	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
A degree theorem for the simplicial closure of Auter Space	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
A cohomological bundle theory for sheaf cohomology	0
Free colimit completion in $\infty$-categories	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
An elementary proof of the chromatic Smith fixed point theorem	0
The mod 2 Margolis homology of the invariants under the Sylow subgroup of the general linear group	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
Graded Lie structure on cohomology of some exact monoidal categories	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Erratum to “From loop groups to 2-groups”	0
Szczarba’s twisting cochain is comultiplicative	0
Local characterization of block-decomposability for multiparameter persistence modules	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality	0