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 2021-09-01 to 2025-09-01.)

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	10
Generalized persistence and graded structures	7
A(nother) model for the framed little disks operad	6
The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups	5
Algebraically cofibrant and fibrant objects revisited	4
Two theorems on cohomological pairings	4
Locally dualizable modules abound	3
Constructing coproducts in locally Cartesian closed $\infty$-categories	3
Cyclic $A_\infty$-algebras and cyclic homology	3
Homotopy theory of spectral sequences	3
Optimal colored Tverberg theorems for prime powers	3
On invertible $2$-dimensional framed and $r$-spin topological field theories	3
Bousfield–Segal spaces	3
Uniqueness of monoidal adjunctions	2
A homotopy orbit spectrum for profinite groups	2
Simplicial $*$-modules and mild actions	2
Rational circle-equivariant elliptic cohomology of CP(V)	2
A degree formula for equivariant cohomology rings	2
On the cyclic homology of certain universal differential graded algebras	2
$K$-theory of real Grassmann manifolds	2
Lifespan functors and natural dualities in persistent homology	2
Cellular sheaves of lattices and the Tarski Laplacian	2
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
The homotopy-invariance of constructible sheaves	2
On the topological $K$-theory of twisted equivariant perfect complexes	1

The algebraic stability for persistent Laplacians	1
On cohomology in symmetric tensor categories in prime characteristic	1
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	1
Persistent homology with non-contractible preimages	1
A cohomological bundle theory for sheaf cohomology	1
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	1
Monotone cohomologies and oriented matchings	1
The homotopy class of twisted $L_\infty$-morphisms	1
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1
Nondegenerate homotopy and geometric flows	1
Path homology of directed hypergraphs	1
On strict polynomial functors with bounded domain	1
An $R$-motivic $v_1$-self-map of periodicity $1$	1
Koszul duality in higher topoi	1
Thom's counterexamples for the Steenrod problem	1
Exponentials of non-singular simplicial sets	1
Čech complexes of hypercube graphs	1
Graphs associated to fold maps from closed surfaces to the projective plane	1
Comparing diagonals on the associahedra	1
The stable embedding tower and operadic structures on configuration spaces	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	1
Compact Lie groups and complex reductive groups	1
Fiber integration of gerbes and Deligne line bundles	1
Multicategories model all connective spectra	1
On the string topology coproduct for Lie groups	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
The category of Silva spaces is not integral	1
Addendum to “Refinement invariance of intersection (co)homologies”	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
On generalized projective product spaces and Dold manifolds	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Structure of semi-continuous $q$-tame persistence modules	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
Limit theorems for critical faces above the vanishing threshold	0
On the cokernel of the Thom morphism for compact Lie groups	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
Erratum to “From loop groups to 2-groups”	0
Self-duality of the lattice of transfer systems via weak factorization systems	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
LS-category and topological complexity of several families of fibre bundles	0
On Postnikov completeness for replete topoi	0
Coformality around fibrations and cofibrations	0
Classifying space via homotopy coherent nerve	0
Mapping class groups of manifolds with boundary are of finite type	0
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
Cartesian fibrations and representability	0
On the dimension of the mapping class groups of a non-orientable surface	0
Szczarba’s twisting cochain is comultiplicative	0

Spectral sequences of a Morse shelling	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Poincaré/Koszul duality for general operads	0
Stability of Loday constructions	0
Symmetric Hochschild cohomology of twisted group algebras	0
Derived universal Massey products	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
The magnitude homology of a hypergraph	0
Homotopy characters as a homotopy limit	0
Reciprocity sheaves, II	0
Self-closeness numbers of non-simply-connected spaces	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
On the extension problem for weak moment maps	0
Relative $\mathbb{A}^1$-homology and its applications	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
Unstable algebras over an operad II	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
The Euler characteristic of finite categories	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
An upper bound on the topological complexity of discriminantal varieties	0
E-infinity structure in hyperoctahedral homology	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
Self-closeness numbers of product spaces	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
An elementary proof of the chromatic Smith fixed point theorem	0
Hyperoctahedral homology for involutive algebras	0
Homotopy type of the independence complex of some categorical products of graphs	0
A degree theorem for the simplicial closure of Auter Space	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
Configuration spaces of clusters as $E_d$-algebras	0
Standard conjecture D for local stacky matrix factorizations	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
On finite domination and Poincaré duality	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
A category to classify compact Hausdorff spaces and finite spaces	0
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
Magnitude, homology, and the Whitney twist	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
Free colimit completion in $\infty$-categories	0
An effective proof of the Cartan formula: odd primes	0
On the convergence of the orthogonal spectral sequence	0
Independence complexes of $(n \times 6)$-grid 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
Zig-zag modules: cosheaves and $k$-theory	0
On the log motivic stable homotopy groups	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
On the structure of equivariant formal group laws	0
The stable hull of an exact $\infty$-category	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0