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 2021-05-01 to 2025-05-01.)

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
Algebraically cofibrant and fibrant objects revisited	3
Two theorems on cohomological pairings	3
Homotopy theory of spectral sequences	3
Locally dualizable modules abound	3
Uniqueness of monoidal adjunctions	2
Cyclic $A_\infty$-algebras and cyclic homology	2
A degree formula for equivariant cohomology rings	2
$K$-theory of real Grassmann manifolds	2
Cellular sheaves of lattices and the Tarski Laplacian	2
On invertible $2$-dimensional framed and $r$-spin topological field theories	2
Optimal colored Tverberg theorems for prime powers	2
A homotopy orbit spectrum for profinite groups	2
Realisability of the group of self-homotopy equivalences and local homotopy theory	2
Constructing coproducts in locally Cartesian closed $\infty$-categories	2
Bousfield–Segal spaces	2
The homotopy-invariance of constructible sheaves	2
Simplicial $*$-modules and mild actions	2
Polynomial generators of $\mathbf{MSU}^\ast [1/2]$ related to classifying maps of certain formal group laws	1
The homotopy class of twisted $L_\infty$-morphisms	1
Thom's counterexamples for the Steenrod problem	1
On cohomology in symmetric tensor categories in prime characteristic	1

Exponentials of non-singular simplicial sets	1
On the coformality of classifying spaces for fibrewise self-equivalences	1
The stable embedding tower and operadic structures on configuration spaces	1
Comparing diagonals on the associahedra	1
Path homology of directed hypergraphs	1
Lifespan functors and natural dualities in persistent homology	1
On the number of Pfister forms and the symbol length of fields with finite square class number	1
Multicategories model all connective spectra	1
A cohomological bundle theory for sheaf cohomology	1
The algebraic stability for persistent Laplacians	1
Monotone cohomologies and oriented matchings	1
Nondegenerate homotopy and geometric flows	1
The category of Silva spaces is not integral	1
Graphs associated to fold maps from closed surfaces to the projective plane	1
A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups	1
Čech complexes of hypercube graphs	1
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle	1
Compact Lie groups and complex reductive groups	1
On strict polynomial functors with bounded domain	1
Rational circle-equivariant elliptic cohomology of CP(V)	1
On the topological $K$-theory of twisted equivariant perfect complexes	1
The Euler characteristic of finite categories	0
An effective proof of the Cartan formula: odd primes	0
Symmetric Hochschild cohomology of twisted group algebras	0
Mapping class groups of manifolds with boundary are of finite type	0
The stable hull of an exact $\infty$-category	0
The classifying space of the 1+1 dimensional $G$-cobordism category	0
Haefliger’s approach for spherical knots modulo immersions	0
Standard conjecture D for local stacky matrix factorizations	0
On generalized projective product spaces and Dold manifolds	0
LS-category and topological complexity of several families of fibre bundles	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
A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation	0
Coformality around fibrations and cofibrations	0
On finite domination and Poincaré duality	0
Self-duality of the lattice of transfer systems via weak factorization systems	0
An $R$-motivic $v_1$-self-map of periodicity $1$	0
Derived universal Massey products	0
An upper bound on the topological complexity of discriminantal varieties	0
Fiber integration of gerbes and Deligne line bundles	0
Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes	0
Intrinsic convergence of the homological Taylor tower for $r$-immersions in $\mathbb{R}^n$	0
Addendum to “Refinement invariance of intersection (co)homologies”	0
Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$	0
Erratum to “From loop groups to 2-groups”	0
Poincaré/Koszul duality for general operads	0
When Bousfield localizations and homotopy idempotent functors meet again	0
Unstable algebras over an operad II	0
On the log motivic stable homotopy groups	0

Independence complexes of $(n \times 6)$-grid graphs	0
Remarks on the equivalence between differential graded categories and A-infinity categories	0
Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$	0
E-infinity structure in hyperoctahedral homology	0
A $v_1$-banded vanishing line for the mod 2 Moore spectrum	0
Graded Lie structure on cohomology of some exact monoidal categories	0
Hyperoctahedral homology for involutive algebras	0
Homotopy type of the independence complex of some categorical products of graphs	0
Stability of Loday constructions	0
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties	0
On the Picard group graded homotopy groups of a finite type two $K(2)$-local spectrum at the prime three	0
The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$	0
Semi-prorepresentability of formal moduli problems and equivariant structures	0
On the string topology coproduct for Lie groups	0
The structuring effect of a Gottlieb element on the Sullivan model of a space	0
Classifying space via homotopy coherent nerve	0
The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$	0
Configuration spaces of clusters as $E_d$-algebras	0
Cohomology of spaces of Hopf equivariant maps of spheres	0
Extra structure on the cohomology of configuration spaces of closed orientable surfaces	0
Free colimit completion in $\infty$-categories	0
The cohomology of free loop spaces of rank $2$ flag manifolds	0
Self-closeness numbers of non-simply-connected spaces	0
$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups	0
Relative $\mathbb{A}^1$-homology and its applications	0
A degree theorem for the simplicial closure of Auter Space	0
On Postnikov completeness for replete topoi	0
Homology transfer products on free loop spaces: orientation reversal on spheres	0
Magnitude meets persistence: homology theories for filtered simplicial sets	0
Cartesian fibrations and representability	0
André-Quillen cohomology and $k$-invariants of simplicial categories	0
The magnitude homology of a hypergraph	0
Szczarba’s twisting cochain is comultiplicative	0
Spectral sequences of a Morse shelling	0
On the cohomology of the classifying spaces of $SO(n)$-gauge groups over $S^2$	0
Reciprocity sheaves, II	0
Limit theorems for critical faces above the vanishing threshold	0
Non-commutative localisation and finite domination over strongly $\mathbb{Z}$-graded rings	0
On the extension problem for weak moment maps	0
The homotopy solvability of compact Lie groups and homogenous topological spaces	0
Hyperplane restrictions of indecomposable $n$-dimensional persistence modules	0
On the dimension of the mapping class groups of a non-orientable surface	0
Koszul duality in higher topoi	0
The homotopy types of $SU(n)$-gauge groups over $S^{2m}$	0
On the convergence of the orthogonal spectral sequence	0
Persistent homology with non-contractible preimages	0
Complex orientations and $\mathrm{TP}$ of complete DVRs	0
On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories	0
Structure of semi-continuous $q$-tame persistence modules	0
Self-closeness numbers of product spaces	0
A category to classify compact Hausdorff spaces and finite spaces	0
Homotopy characters as a homotopy limit	0
Stable equivariant complex cobordism of the symmetric group on three elements	0
Magnitude, homology, and the Whitney twist	0
An elementary proof of the chromatic Smith fixed point theorem	0