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
Two theorems on cohomological pairings	3
Minimal projective resolution and magnitude homology of geodetic metric spaces	3
Higher categories of push-pull spans, II: Matrix factorizations	3
Exploring homological properties of independence complexes of Kneser graphs	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
$K$-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
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
The cohomology of free loop spaces of rank $2$ flag manifolds	0
A degree theorem for the simplicial closure of Auter Space	0
On strict polynomial functors with bounded domain	0
Free colimit completion in $\infty$-categories	0
Compact Lie groups and complex reductive groups	0
An elementary proof of the chromatic Smith fixed point theorem	0
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Homology operations for gravity algebras	0
Multicategories model all connective spectra	0
Szczarba’s twisting cochain is comultiplicative	0
Unstable algebras over an operad II	0
Fiber integration of gerbes and Deligne line bundles	0
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
$\infty$-categorical universal properties of quotients and localizations of $A_{\infty}$-categories	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
E-infinity structure in hyperoctahedral homology	0
A category to classify compact Hausdorff spaces and finite spaces	0
On the cokernel of the Thom morphism for compact Lie groups	0
On finite domination and Poincaré duality	0
A note on Suslin matrices and Clifford algebras	0
$H \mathbb{F}_2$-synthetic homotopy groups of topological modular forms	0
Independence complexes of $(n \times 6)$-grid graphs	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
On the structure of equivariant formal group laws	0
Derived universal Massey products	0
Standard conjecture D for local stacky matrix factorizations	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Intertwining category and complexity	0
The cohomology of the nilCoxeter algebra	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0

A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	0
On the log motivic stable homotopy groups	0
On the coformality of classifying spaces for fibrewise self-equivalences	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
On certain homological invariants for weakly coherent rings	0
LS-category and topological complexity of several families of fibre bundles	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
An effective proof of the Cartan formula: odd primes	0
A cohomological bundle theory for sheaf cohomology	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
A distributive lattice of model structures relating to spectral sequences	0
The mod 2 Margolis homology of the invariants under the Sylow subgroup of the general linear group	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
Haefliger’s approach for spherical knots modulo immersions	0
Abrams' stabilization theorem for no-$k$-equal configuration spaces on graphs	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
Self-closeness numbers of non-simply-connected spaces	0
The magnitude homology of a hypergraph	0
Local characterization of block-decomposability for multiparameter persistence modules	0
Erratum to “From loop groups to 2-groups”	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
On Postnikov completeness for replete topoi	0
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
Homotopy characters as a homotopy limit	0
The algebraic stability for persistent Laplacians	0
Mapping class groups of manifolds with boundary are of finite type	0
The valuative section conjecture, étale homotopy, and Berkovich spaces	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
Dyer–Lashof operations as extensions of Brown–Gitler modules	0
On the dimension of Harer's spine for the decorated Teichmüller space	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
Thom's counterexamples for the Steenrod problem	0
Zig-zag modules: cosheaves and $k$-theory	0
Magnitude, homology, and the Whitney twist	0
Koszul duality in higher topoi	0
Homotopy type of the independence complex of some categorical products of graphs	0
Coformality around fibrations and cofibrations	0
Classifying space via homotopy coherent nerve	0
Extensions in Jacobian algebras via  punctured skein relations	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Clique complexes of multigraphs, edge inflations, and tournaplexes	0
On torsion in eulerian magnitude homology of Erdös-Rényi random graphs	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Self-closeness numbers of product spaces	0
The fundamental group of Galois covers of surfaces with octahedral envelope	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Limit theorems for critical faces above the vanishing threshold	0
The Euler characteristic of finite categories	0
Weight 11 compactly supported cohomology of moduli spaces of curves in excess four	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Configuration spaces of clusters as $E_d$-algebras	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
Oda’s extension problem in the 33-stem homotopy group of the 6-sphere	0