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

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	10
Generalized persistence and graded structures	8
A(nother) model for the framed little disks operad	8
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	6
Algebraically cofibrant and fibrant objects revisited	4
Locally dualizable modules abound	4
Homotopy theory of spectral sequences	4
Two theorems on cohomological pairings	4
On invertible $2$-dimensional framed and $r$-spin topological field theories	3
Constructing coproducts in locally Cartesian closed $\infty$-categories	3
A degree formula for equivariant cohomology rings	3
On a sequence of Grothendieck groups	3
Cyclic $A_\infty$-algebras and cyclic homology	3
Bousfield–Segal spaces	3
Cohomology and $K$-theory rings of the space of commuting elements in <span class="cf0">$S U(2)$</span> <!--StartFragment --><!--EndFragment -->	3
Section complexes of simplicial height functions	3
Optimal colored Tverberg theorems for prime powers	3
Uniqueness of monoidal adjunctions	3
A homotopy orbit spectrum for profinite groups	2
The homotopy-invariance of constructible sheaves	2
Lifespan functors and natural dualities in persistent homology	2
Gottlieb groups of the wedge of some Moore spaces	2
$K$-theory of real Grassmann manifolds	2
On the cyclic homology of certain universal differential graded algebras	2
Simplicial $*$-modules and mild actions	2

Rational circle-equivariant elliptic cohomology of CP(V)	2
Cellular sheaves of lattices and the Tarski Laplacian	2
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
Stable maps from closed surfaces to the 2-sphere	2
The stable embedding tower and operadic structures on configuration spaces	2
The algebraic stability for persistent Laplacians	1
On the string topology coproduct for Lie groups	1
Čech complexes of hypercube graphs	1
Graphs associated to fold maps from closed surfaces to the projective plane	1
The category of Silva spaces is not integral	1
On the topological $K$-theory of twisted equivariant perfect complexes	1
Path homology of directed hypergraphs	1
The valuative section conjecture, étale homotopy, and Berkovich spaces	1
Clique complexes of multigraphs, edge inflations, and tournaplexes	1
Koszul duality in higher topoi	1
A cohomological bundle theory for sheaf cohomology	1
On certain homological invariants for weakly coherent rings	1
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
Nondegenerate homotopy and geometric flows	1
Comparing diagonals on the associahedra	1
On the additivity of the little cubes operads	1
On strict polynomial functors with bounded domain	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	1
On cohomology in symmetric tensor categories in prime characteristic	1
Multicategories model all connective spectra	1
Exponentials of non-singular simplicial sets	1
Monotone cohomologies and oriented matchings	1
The homotopy class of twisted $L_\infty$-morphisms	1
Elmendorf's theorem for diagrams	1
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1
Compact Lie groups and complex reductive groups	1
Thom's counterexamples for the Steenrod problem	1
An $R$-motivic $v_1$-self-map of periodicity $1$	1
Fiber integration of gerbes and Deligne line bundles	1
Persistent homology with non-contractible preimages	1
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	1
A category to classify compact Hausdorff spaces and finite spaces	0
The stable hull of an exact $\infty$-category	0
Symmetric Hochschild cohomology of twisted group algebras	0
Relative $\mathbb{A}^1$-homology and its applications	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality	0
Poincaré/Koszul duality for general operads	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Cartesian fibrations and representability	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0

Hyperoctahedral homology for involutive algebras	0
Szczarba’s twisting cochain is comultiplicative	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
Configuration spaces of clusters as $E_d$-algebras	0
A distributive lattice of model structures relating to spectral sequences	0
On the extension problem for weak moment maps	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Self-duality of the lattice of transfer systems via weak factorization systems	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
On the cokernel of the Thom morphism for compact Lie groups	0
On the convergence of the orthogonal spectral sequence	0
Self-closeness numbers of non-simply-connected spaces	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Haefliger’s approach for spherical knots modulo immersions	0
On the log motivic stable homotopy groups	0
Erratum to “From loop groups to 2-groups”	0
Free colimit completion in $\infty$-categories	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
On the structure of equivariant formal group laws	0
Independence complexes of $(n \times 6)$-grid graphs	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
$\infty$-categorical universal properties of quotients and localizations of $A_{\infty}$-categories	0
Graded Lie structure on cohomology of some exact monoidal categories	0
On finite domination and Poincaré duality	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
$H \mathbb{F}_2$-synthetic homotopy groups of topological modular forms	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Stability of Loday constructions	0
Coformality around fibrations and cofibrations	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Standard conjecture D for local stacky matrix factorizations	0
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
Structure of semi-continuous $q$-tame persistence modules	0
Extensions in Jacobian algebras via  punctured skein relations	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
On the dimension of the mapping class groups of a non-orientable surface	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
Classifying space via homotopy coherent nerve	0
Homotopy characters as a homotopy limit	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
An elementary proof of the chromatic Smith fixed point theorem	0
An effective proof of the Cartan formula: odd primes	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
On Postnikov completeness for replete topoi	0
Magnitude, homology, and the Whitney twist	0
Mapping class groups of manifolds with boundary are of finite type	0
Reciprocity sheaves, II	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Spectral sequences of a Morse shelling	0
Self-closeness numbers of product spaces	0
Zig-zag modules: cosheaves and $k$-theory	0
Unstable algebras over an operad II	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Limit theorems for critical faces above the vanishing threshold	0
The magnitude homology of a hypergraph	0
Homotopy type of the independence complex of some categorical products of graphs	0
On generalized projective product spaces and Dold manifolds	0
Derived universal Massey products	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
E-infinity structure in hyperoctahedral homology	0
LS-category and topological complexity of several families of fibre bundles	0
The Euler characteristic of finite categories	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
Oda’s extension problem in the 33-stem homotopy group of the 6-sphere	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
An upper bound on the topological complexity of discriminantal varieties	0
A degree theorem for the simplicial closure of Auter Space	0