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
Two theorems on cohomological pairings	4
Algebraically cofibrant and fibrant objects revisited	4
On invertible $2$-dimensional framed and $r$-spin topological field theories	3
Bousfield–Segal spaces	3
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
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
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
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
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
On the extension problem for weak moment maps	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
An upper bound on the topological complexity of discriminantal varieties	0
A category to classify compact Hausdorff spaces and finite spaces	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
Magnitude, homology, and the Whitney twist	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
Free colimit completion in $\infty$-categories	0
An effective proof of the Cartan formula: odd primes	0
An elementary proof of the chromatic Smith fixed point theorem	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
A degree theorem for the simplicial closure of Auter Space	0
Zig-zag modules: cosheaves and $k$-theory	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
On the structure of equivariant formal group laws	0

The homotopy solvability of compact Lie groups and homogenous topological spaces	0
On finite domination and Poincaré duality	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
On the convergence of the orthogonal spectral sequence	0
On the cokernel of the Thom morphism for compact Lie groups	0
Haefliger’s approach for spherical knots modulo immersions	0
Erratum to “From loop groups to 2-groups”	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
On the log motivic stable homotopy groups	0
On Postnikov completeness for replete topoi	0
Coformality around fibrations and cofibrations	0
The stable hull of an exact $\infty$-category	0
Mapping class groups of manifolds with boundary are of finite type	0
Cartesian fibrations and representability	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
Szczarba’s twisting cochain is comultiplicative	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
On generalized projective product spaces and Dold manifolds	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Stability of Loday constructions	0
Structure of semi-continuous $q$-tame persistence modules	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
Derived universal Massey products	0
Limit theorems for critical faces above the vanishing threshold	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
The magnitude homology of a hypergraph	0
Self-duality of the lattice of transfer systems via weak factorization systems	0
Reciprocity sheaves, II	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
Classifying space via homotopy coherent nerve	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
On the dimension of the mapping class groups of a non-orientable surface	0
Relative $\mathbb{A}^1$-homology and its applications	0
Relative weak global Gorenstein dimension, AB-contexts and model structures	0
Unstable algebras over an operad II	0
Spectral sequences of a Morse shelling	0
The Euler characteristic of finite categories	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Poincaré/Koszul duality for general operads	0
E-infinity structure in hyperoctahedral homology	0
Self-closeness numbers of product spaces	0
Symmetric Hochschild cohomology of twisted group algebras	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Hyperoctahedral homology for involutive algebras	0
Homotopy characters as a homotopy limit	0
Homotopy type of the independence complex of some categorical products of graphs	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
Self-closeness numbers of non-simply-connected spaces	0
Standard conjecture D for local stacky matrix factorizations	0
Configuration spaces of clusters as $E_d$-algebras	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0