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 2021-06-01 to 2025-06-01.)

Article	Citations
On étale hypercohomology of henselian regular local rings with values in $p$-adic étale Tate twists	8
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	4
Homotopy theory of spectral sequences	3
Two theorems on cohomological pairings	3
Locally dualizable modules abound	3
On invertible $2$-dimensional framed and $r$-spin topological field theories	3
Algebraically cofibrant and fibrant objects revisited	3
Uniqueness of monoidal adjunctions	2
Simplicial $*$-modules and mild actions	2
$K$-theory of real Grassmann manifolds	2
A degree formula for equivariant cohomology rings	2
Optimal colored Tverberg theorems for prime powers	2
Cellular sheaves of lattices and the Tarski Laplacian	2
Lifespan functors and natural dualities in persistent homology	2
A homotopy orbit spectrum for profinite groups	2
Constructing coproducts in locally Cartesian closed $\infty$-categories	2
Bousfield–Segal spaces	2
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
The homotopy-invariance of constructible sheaves	2
Cyclic $A_\infty$-algebras and cyclic homology	2
Path homology of directed hypergraphs	1
The homotopy class of twisted $L_\infty$-morphisms	1
Rational circle-equivariant elliptic cohomology of CP(V)	1

Nondegenerate homotopy and geometric flows	1
The category of Silva spaces is not integral	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
On cohomology in symmetric tensor categories in prime characteristic	1
Koszul duality in higher topoi	1
On strict polynomial functors with bounded domain	1
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	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 number of Pfister forms and the symbol length of fields with finite square class number	1
Čech complexes of hypercube graphs	1
A cohomological bundle theory for sheaf cohomology	1
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	1
Compact Lie groups and complex reductive groups	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
On the topological $K$-theory of twisted equivariant perfect complexes	1
The algebraic stability for persistent Laplacians	1
On the string topology coproduct for Lie groups	1
An $R$-motivic $v_1$-self-map of periodicity $1$	1
Thom's counterexamples for the Steenrod problem	1
Exponentials of non-singular simplicial sets	1
Multicategories model all connective spectra	1
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
Fiber integration of gerbes and Deligne line bundles	0
A degree theorem for the simplicial closure of Auter Space	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
A category to classify compact Hausdorff spaces and finite spaces	0
Hyperoctahedral homology for involutive algebras	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Relative $\mathbb{A}^1$-homology and its applications	0
Derived universal Massey products	0
On Postnikov completeness for replete topoi	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Stability of Loday constructions	0
Mapping class groups of manifolds with boundary are of finite type	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Graded $p$-polar rings and the homology of $\Omega^n \Sigma^n X$<br><br>	0
E-infinity structure in hyperoctahedral homology	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	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
On finite domination and Poincaré duality	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
On the convergence of the orthogonal spectral sequence	0

Addendum to “Refinement invariance of intersection (co)homologies”	0
Haefliger’s approach for spherical knots modulo immersions	0
Szczarba’s twisting cochain is comultiplicative	0
Self-closeness numbers of product spaces	0
Homotopy characters as a homotopy limit	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 cohomology of free loop spaces of rank $2$ flag manifolds	0
Symmetric Hochschild cohomology of twisted group algebras	0
Cartesian fibrations and representability	0
The stable hull of an exact $\infty$-category	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Magnitude, homology, and the Whitney twist	0
Limit theorems for critical faces above the vanishing threshold	0
The Euler characteristic of finite categories	0
An effective proof of the Cartan formula: odd primes	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
Zig-zag modules: cosheaves and $k$-theory	0
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex	0
LS-category and topological complexity of several families of fibre bundles	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Self-duality of the lattice of transfer systems via weak factorization systems	0
Standard conjecture D for local stacky matrix factorizations	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
On the dimension of the mapping class groups of a non-orientable surface	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
Configuration spaces of clusters as $E_d$-algebras	0
Classifying space via homotopy coherent nerve	0
A combinatorial $K$-theory perspective on the edge reconstruction conjecture in graph theory	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
The magnitude homology of a hypergraph	0
Persistent homology with non-contractible preimages	0
Poincaré/Koszul duality for general operads	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
On the log motivic stable homotopy groups	0
On the cokernel of the Thom morphism for compact Lie groups	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
Free colimit completion in $\infty$-categories	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
Self-closeness numbers of non-simply-connected spaces	0
On the structure of equivariant formal group laws	0
Unstable algebras over an operad II	0
On generalized projective product spaces and Dold manifolds	0
Independence complexes of $(n \times 6)$-grid graphs	0
Coformality around fibrations and cofibrations	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
Erratum to “From loop groups to 2-groups”	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Reciprocity sheaves, II	0
On the extension problem for weak moment maps	0
Homotopy type of the independence complex of some categorical products of graphs	0
Spectral sequences of a Morse shelling	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
Structure of semi-continuous $q$-tame persistence modules	0
An upper bound on the topological complexity of discriminantal varieties	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0